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Math Problems
Algebra 2
Divide polynomials using long division
7
7
7
.
(
x
3
+
7
x
2
+
2
)
÷
(
x
−
1
)
\left(x^{3}+7 x^{2}+2\right) \div(x-1)
(
x
3
+
7
x
2
+
2
)
÷
(
x
−
1
)
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8
8
8
.
(
4
x
3
−
23
x
−
21
)
÷
(
2
x
+
3
)
\left(4 x^{3}-23 x-21\right) \div(2 x+3)
(
4
x
3
−
23
x
−
21
)
÷
(
2
x
+
3
)
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Evaluate:
\newline
26
−
6
343
3
26-6\sqrt[3]{343}
26
−
6
3
343
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6
6
6
.
x
3
−
27
3
x
2
−
24
x
+
45
÷
x
2
+
3
x
+
9
x
2
−
25
\frac{x^{3}-27}{3 x^{2}-24 x+45} \div \frac{x^{2}+3 x+9}{x^{2}-25}
3
x
2
−
24
x
+
45
x
3
−
27
÷
x
2
−
25
x
2
+
3
x
+
9
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(
x
−
12
)
÷
y
+
z
(x-12) \div y+z
(
x
−
12
)
÷
y
+
z
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Subtract.
\newline
5
y
3
6
c
2
k
3
−
3
c
3
u
3
8
d
3
k
2
\frac{5 y^{3}}{6 c^{2} k^{3}}-\frac{3 c^{3} u^{3}}{8 d^{3} k^{2}}
6
c
2
k
3
5
y
3
−
8
d
3
k
2
3
c
3
u
3
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x
53
−
12
x
40
−
3
x
27
−
5
x
21
+
x
10
−
3
x^{53}-12 x^{40}-3 x^{27}-5 x^{21}+x^{10}-3
x
53
−
12
x
40
−
3
x
27
−
5
x
21
+
x
10
−
3
/ divide by
x
−
1
x-1
x
−
1
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Perform the division.
\newline
(
18
x
16
−
4
x
14
+
12
x
12
−
16
x
10
)
÷
(
2
x
18
)
\left(18 x^{16}-4 x^{14}+12 x^{12}-16 x^{10}\right) \div\left(2 x^{18}\right)
(
18
x
16
−
4
x
14
+
12
x
12
−
16
x
10
)
÷
(
2
x
18
)
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Divide
a
(
5
a
2
−
125
)
a\left(5 a^{2}-125\right)
a
(
5
a
2
−
125
)
by
5
a
(
a
+
5
)
5 a(a+5)
5
a
(
a
+
5
)
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Divide.
\newline
(
−
10
a
2
+
80
a
)
÷
(
a
−
8
)
(-10a^2 + 80a) \div (a - 8)
(
−
10
a
2
+
80
a
)
÷
(
a
−
8
)
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Divide.
\newline
(
−
8
x
2
+
48
x
)
÷
(
x
−
6
)
(-8x^2 + 48x) \div (x - 6)
(
−
8
x
2
+
48
x
)
÷
(
x
−
6
)
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Divide.
\newline
(
m
2
+
2
m
)
÷
(
m
+
2
)
(m^2 + 2m) \div (m + 2)
(
m
2
+
2
m
)
÷
(
m
+
2
)
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Divide.
\newline
(
10
y
+
20
)
÷
(
y
+
2
)
(10y + 20) \div (y + 2)
(
10
y
+
20
)
÷
(
y
+
2
)
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Divide.
\newline
(
2
c
2
+
18
c
)
÷
(
c
+
9
)
(2c^2 + 18c) \div (c + 9)
(
2
c
2
+
18
c
)
÷
(
c
+
9
)
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Divide.
\newline
(
−
r
−
10
)
÷
(
r
+
10
)
(-r - 10) \div (r + 10)
(
−
r
−
10
)
÷
(
r
+
10
)
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Divide.
\newline
(
−
8
a
+
16
)
÷
(
a
−
2
)
(-8a + 16) \div (a - 2)
(
−
8
a
+
16
)
÷
(
a
−
2
)
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Divide.
\newline
(
−
5
f
2
−
45
f
)
÷
(
f
+
9
)
(-5f^2 - 45f) \div (f + 9)
(
−
5
f
2
−
45
f
)
÷
(
f
+
9
)
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Divide.
\newline
(
−
6
t
+
54
)
÷
(
t
−
9
)
(-6t + 54) \div (t - 9)
(
−
6
t
+
54
)
÷
(
t
−
9
)
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Divide.
\newline
(
7
x
2
+
35
x
)
÷
(
x
+
5
)
(7x^2 + 35x) \div (x + 5)
(
7
x
2
+
35
x
)
÷
(
x
+
5
)
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Divide.
\newline
(
12
v
−
96
)
÷
(
v
−
8
)
(12v - 96) \div (v - 8)
(
12
v
−
96
)
÷
(
v
−
8
)
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Divide.
\newline
(
4
k
−
40
)
÷
(
k
−
10
)
(4k - 40) \div (k - 10)
(
4
k
−
40
)
÷
(
k
−
10
)
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Divide.
\newline
(
13
q
2
−
52
q
)
÷
(
q
−
4
)
(13q^2 - 52q) \div (q - 4)
(
13
q
2
−
52
q
)
÷
(
q
−
4
)
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Divide.
\newline
(
−
13
k
2
+
52
k
)
÷
(
k
−
4
)
(-13k^2 + 52k) \div (k - 4)
(
−
13
k
2
+
52
k
)
÷
(
k
−
4
)
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Divide.
\newline
(
6
t
2
−
54
t
)
÷
(
t
−
9
)
(6t^2 - 54t) \div (t - 9)
(
6
t
2
−
54
t
)
÷
(
t
−
9
)
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Divide.
\newline
(
4
g
+
36
)
÷
(
g
+
9
)
(4g + 36) \div (g + 9)
(
4
g
+
36
)
÷
(
g
+
9
)
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Divide.
\newline
(
7
s
−
49
)
÷
(
s
−
7
)
(7s - 49) \div (s - 7)
(
7
s
−
49
)
÷
(
s
−
7
)
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Divide.
\newline
(
3
x
2
−
24
x
)
÷
(
x
−
8
)
(3x^2 - 24x) \div (x - 8)
(
3
x
2
−
24
x
)
÷
(
x
−
8
)
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Divide.
\newline
(
−
6
d
−
54
)
÷
(
d
+
9
)
(-6d - 54) \div (d + 9)
(
−
6
d
−
54
)
÷
(
d
+
9
)
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Divide.
\newline
(
−
33
b
2
+
132
b
)
÷
(
b
−
4
)
(-33b^2 + 132b) \div (b - 4)
(
−
33
b
2
+
132
b
)
÷
(
b
−
4
)
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(
−
6
)
3
÷
3
2
÷
[
−
9
−
(
−
8
)
]
3
(-6)^{3} \div 3^{2} \div[-9-(-8)]^{3}
(
−
6
)
3
÷
3
2
÷
[
−
9
−
(
−
8
)
]
3
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21
n
−
28
n
2
3
÷
12
n
−
9
4
\frac{21 n-28 n^{2}}{3} \div \frac{12 n-9}{4}
3
21
n
−
28
n
2
÷
4
12
n
−
9
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\(2q^{
2
2
2
}-qr
−
3
-3
−
3
r^{
2
2
2
}\div
2
2
2
q^{
2
2
2
}
−
9
-9
−
9
qr+
9
9
9
r^{
2
2
2
}(\newline\)(q+r)(q+
3
3
3
r)(\newline\)(
9
9
9
) Cannot be simplified(\newline\)(a+r)(a
−
3
-3
−
3
r)(\newline\)(a-r)(q+
3
3
3
r)
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2
q
2
−
q
r
−
3
r
2
÷
2
q
2
−
9
q
r
+
9
r
2
2 q^{2}-q r-3 r^{2} \div 2 q^{2}-9 q r+9 r^{2}
2
q
2
−
q
r
−
3
r
2
÷
2
q
2
−
9
q
r
+
9
r
2
\newline
(
q
+
r
)
(
q
+
3
r
)
(q+r)(q+3 r)
(
q
+
r
)
(
q
+
3
r
)
\newline
Cannot be simplified
\newline
(
a
+
r
)
(
a
−
3
r
)
(a+r)(a-3 r)
(
a
+
r
)
(
a
−
3
r
)
\newline
(
a
−
r
)
(
a
+
3
r
)
(a-r)(a+3 r)
(
a
−
r
)
(
a
+
3
r
)
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5
5
5
)
a
t
+
t
2
2
b
−
c
t
÷
a
2
+
2
a
t
+
t
2
2
b
t
−
c
t
2
\frac{a t+t^{2}}{2 b-c t} \div \frac{a^{2}+2 a t+t^{2}}{2 b t-c t^{2}}
2
b
−
c
t
a
t
+
t
2
÷
2
b
t
−
c
t
2
a
2
+
2
a
t
+
t
2
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(
4
c
3
−
27
c
2
+
35
c
)
÷
(
4
c
−
7
)
\left(4 c^{3}-27 c^{2}+35 c\right) \div(4 c-7)
(
4
c
3
−
27
c
2
+
35
c
)
÷
(
4
c
−
7
)
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2
2
2
)
(
v
3
+
4
v
2
−
15
v
+
42
)
÷
(
v
+
7
)
\left(v^{3}+4 v^{2}-15 v+42\right) \div(v+7)
(
v
3
+
4
v
2
−
15
v
+
42
)
÷
(
v
+
7
)
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cos
(
π
2
−
.
578
)
sin
(
.
578
)
+
cos
(
.
578
)
sin
(
π
2
−
.
578
)
\cos \left(\frac{\pi}{2}-.578\right) \sin (.578)+\cos (.578) \sin \left(\frac{\pi}{2}-.578\right)
cos
(
2
π
−
.578
)
sin
(
.578
)
+
cos
(
.578
)
sin
(
2
π
−
.578
)
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Prove step by step that
(
sec
sec
x
)
÷
(
tan
tan
x
)
−
(
tan
tan
x
)
÷
(
1
+
sec
sec
x
)
(\sec \sec x) \div (\tan \tan x) - (\tan \tan x) \div (1 + \sec\sec x)
(
sec
sec
x
)
÷
(
tan
tan
x
)
−
(
tan
tan
x
)
÷
(
1
+
sec
sec
x
)
gives:
cot
cot
x
\cot \cot x
cot
cot
x
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1
1
1
.
(
x
2
−
5
x
+
6
)
÷
(
x
−
2
)
\left(x^{2}-5 x+6\right) \div(x-2)
(
x
2
−
5
x
+
6
)
÷
(
x
−
2
)
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(
−
5
(-5
(
−
5
) − (−
48
48
48
) ÷ ( −
16
16
16
) + (−
2
2
2
) ×
6
6
6
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Express in simplest form:
2
x
2
−
8
x
−
42
6
x
2
÷
x
2
−
9
x
2
−
3
x
\frac{2 x^{2}-8 x-42}{6 x^{2}} \div \frac{x^{2}-9}{x^{2}-3 x}
6
x
2
2
x
2
−
8
x
−
42
÷
x
2
−
3
x
x
2
−
9
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Simplify
\newline
(a)
t
−
4
5
t
÷
16
−
t
2
10
t
2
s
\frac{t-4}{5 t} \div \frac{16-t^{2}}{10 t^{2} s}
5
t
t
−
4
÷
10
t
2
s
16
−
t
2
,
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(i)
b
2
−
25
2
b
+
10
÷
(
b
−
5
)
2
5
b
2
\frac{b^{2}-25}{2 b+10} \div \frac{(b-5)^{2}}{5 b^{2}}
2
b
+
10
b
2
−
25
÷
5
b
2
(
b
−
5
)
2
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3
m
4
m
−
n
×
(
4
m
−
n
)
2
6
m
n
\frac{3 m}{4 m-n} \times \frac{(4 m-n)^{2}}{6 m n}
4
m
−
n
3
m
×
6
mn
(
4
m
−
n
)
2
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21
m
2
÷
7
m
21 m^{2} \div 7 m
21
m
2
÷
7
m
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(
2
x
3
+
4
x
2
+
3
x
+
1
)
÷
(
2
x
+
1
)
\left(2 x^{3}+4 x^{2}+3 x+1\right) \div(2 x+1)
(
2
x
3
+
4
x
2
+
3
x
+
1
)
÷
(
2
x
+
1
)
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5
5
5
)
5
m
3
−
35
m
2
−
3
m
+
21
5 m^{3}-35 m^{2}-3 m+21
5
m
3
−
35
m
2
−
3
m
+
21
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r each of the division problems below.
\newline
ex
1
2
÷
2
=
1
4
\frac{1}{2} \div 2=\frac{1}{4}
2
1
÷
2
=
4
1
\newline
I know this is correct because
1
4
×
2
=
1
2
\frac{1}{4} \times 2=\frac{1}{2}
4
1
×
2
=
2
1
\newline
b
1
4
÷
2
=
\frac{1}{4} \div 2=
4
1
÷
2
=
\qquad
\newline
d
\newline
1
4
÷
4
=
\frac{1}{4} \div 4=
4
1
÷
4
=
\qquad
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69
+
122
+
496
−
1
0
2
69+122+496-10^{2}
69
+
122
+
496
−
1
0
2
=
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(
2
3
0
+
2
4
0
+
2
5
0
)
−
2
÷
9
\left(23^{0}+24^{0}+25^{0}\right)^{-2} \div 9
(
2
3
0
+
2
4
0
+
2
5
0
)
−
2
÷
9
Get tutor help
1
2
Next
