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Math Problems
Algebra 1
Add and subtract polynomials
(
X
+
5
)
(
x
+
8
)
=
0
(X+5)(x+8)=0
(
X
+
5
)
(
x
+
8
)
=
0
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Subtract.
\newline
(
9
k
+
5
)
−
(
6
k
+
1
)
(9k + 5) - (6k + 1)
(
9
k
+
5
)
−
(
6
k
+
1
)
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Subtract.
\newline
(
8
v
+
5
)
−
(
3
v
+
1
)
(8v + 5) - (3v + 1)
(
8
v
+
5
)
−
(
3
v
+
1
)
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(
36
x
+
64
(36 x+64
(
36
x
+
64
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6
x
2
+
7
x
+
1
=
0
6 x^{2}+7 x+1=0
6
x
2
+
7
x
+
1
=
0
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x
2
+
2
x
−
3
≥
−
2
\sqrt{x^{2}+2 x-3} \geq-2
x
2
+
2
x
−
3
≥
−
2
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lim
x
→
+
∞
4
x
2
−
3
x
+
7
−
x
x
+
2
\lim _{x \rightarrow+\infty} \frac{\sqrt{4 x^{2}-3 x+7}-x}{x+2}
lim
x
→
+
∞
x
+
2
4
x
2
−
3
x
+
7
−
x
\newline
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Multiply.
2
x
(
5
+
2
3
x
+
8
)
\sqrt{2 x}(\sqrt{5}+2 \sqrt{3 x}+\sqrt{8})
2
x
(
5
+
2
3
x
+
8
)
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13
x
−
(
3
x
+
10
)
13x-(3x+10)
13
x
−
(
3
x
+
10
)
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(
3
x
−
9
)
2
=
2
x
+
2
(
2
x
+
29
)
(3 x-9)^{2}=2 x+2(2 x+29)
(
3
x
−
9
)
2
=
2
x
+
2
(
2
x
+
29
)
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5
x
2
+
3
=
x
5 x^{2}+3=x
5
x
2
+
3
=
x
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Add.
\newline
(
6
s
2
+
6
s
+
7
)
+
(
7
s
2
+
8
s
+
7
)
(6s^2 + 6s + 7) + (7s^2 + 8s + 7)
(
6
s
2
+
6
s
+
7
)
+
(
7
s
2
+
8
s
+
7
)
\newline
______
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Subtract.
\newline
(
4
a
2
+
7
a
+
7
)
−
(
5
a
+
4
)
(4a^2 + 7a + 7) - (5a + 4)
(
4
a
2
+
7
a
+
7
)
−
(
5
a
+
4
)
\newline
______
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Add.
\newline
(
2
h
2
+
9
h
+
1
)
+
(
7
h
+
7
)
(2h^2 + 9h + 1) + (7h + 7)
(
2
h
2
+
9
h
+
1
)
+
(
7
h
+
7
)
\newline
______
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Add.
\newline
(
2
n
2
+
9
n
+
8
)
+
(
9
n
2
+
5
n
+
8
)
(2n^2 + 9n + 8) + (9n^2 + 5n + 8)
(
2
n
2
+
9
n
+
8
)
+
(
9
n
2
+
5
n
+
8
)
\newline
______
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Add.
\newline
(
2
v
2
+
8
v
+
4
)
+
(
4
v
2
+
8
v
+
8
)
(2v^2 + 8v + 4) + (4v^2 + 8v + 8)
(
2
v
2
+
8
v
+
4
)
+
(
4
v
2
+
8
v
+
8
)
\newline
______
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\(4m^+
9
9
9
m)-(
6
6
6
+
2
2
2
m^)\
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−
3
3
−
8
−
3
3
-3 \sqrt{3}-\sqrt{8}-3 \sqrt{3}
−
3
3
−
8
−
3
3
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2
2
2
.
f
(
x
)
=
(
x
2
+
x
)
10
(
2
x
+
1
)
f(x)=\left(x^{2}+x\right)^{10}(2 x+1)
f
(
x
)
=
(
x
2
+
x
)
10
(
2
x
+
1
)
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a.
f
(
x
)
=
3
x
2
+
4
x
+
1
f(x)=3 x^{2}+4 x+1
f
(
x
)
=
3
x
2
+
4
x
+
1
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2
+
6
+
10
+
…
+
(
4
n
−
2
)
=
2
n
2
2+6+10+\ldots+(4 n-2)=2 n^{2}
2
+
6
+
10
+
…
+
(
4
n
−
2
)
=
2
n
2
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x
+
3
x
−
(
4
x
2
)
−
x
x+3x-(4x^2)-x
x
+
3
x
−
(
4
x
2
)
−
x
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(
3
5
a
+
4
7
)
2
\left(\frac{3}{5}a+\frac{4}{7}\right)^2
(
5
3
a
+
7
4
)
2
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7
x
+
3
y
6
−
5
x
+
11
y
4
\frac{7x + 3y}{6} - \frac{5x + 11y}{4}
6
7
x
+
3
y
−
4
5
x
+
11
y
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Evaluate.
\newline
5
x
2
=
11
+
2
x
3
\frac{5 x}{2}=11+\frac{2 x}{3}
2
5
x
=
11
+
3
2
x
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1
1
1
)
(
5
+
2
3
)
2
\quad(5+2 \sqrt{3})^{2}
(
5
+
2
3
)
2
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4
(
2
+
3
)
+
5
(
4
−
2
)
4(2+3)+5(4-2)
4
(
2
+
3
)
+
5
(
4
−
2
)
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Find the vertex.
\newline
F
(
x
)
=
−
1
2
x
2
+
2
−
1
F(x) = -\frac{1}{2}x^2 +2 -1
F
(
x
)
=
−
2
1
x
2
+
2
−
1
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3
x
(
10
+
x
2
)
=
15
x
3x\left(\frac{10+x}{2}\right)=15x
3
x
(
2
10
+
x
)
=
15
x
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(a)
15
=
x
+
5
15=x+5
15
=
x
+
5
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5
(
x
−
2
y
)
2
−
(
x
−
2
y
)
5(x-2 y)^{2}-(x-2 y)
5
(
x
−
2
y
)
2
−
(
x
−
2
y
)
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x
2
+
15
x
+
54
x^{2}+15 x+54
x
2
+
15
x
+
54
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(
5
b
3
+
9
b
+
4
)
−
(
9
b
−
4
)
=
(5b^3+9b+4) -(9b-4)=
(
5
b
3
+
9
b
+
4
)
−
(
9
b
−
4
)
=
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7
7
7
.
(
4
x
6
−
3
x
)
(
4
x
6
+
3
x
)
\left(4 x^{6}-3 x\right)\left(4 x^{6}+3 x\right)
(
4
x
6
−
3
x
)
(
4
x
6
+
3
x
)
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Khan Academy
\newline
Solve.
\newline
3
x
−
9
x
2
=
−
10
3 x-9 x^{2}=-10
3
x
−
9
x
2
=
−
10
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
7
±
77
2
x=\frac{7 \pm \sqrt{77}}{2}
x
=
2
7
±
77
\newline
(B)
x
=
−
2
±
13
−
3
x=\frac{-2 \pm \sqrt{13}}{-3}
x
=
−
3
−
2
±
13
\newline
(C)
x
=
−
5
±
305
14
x=\frac{-5 \pm \sqrt{305}}{14}
x
=
14
−
5
±
305
\newline
(D)
x
=
−
1
±
41
−
6
x=\frac{-1 \pm \sqrt{41}}{-6}
x
=
−
6
−
1
±
41
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rise
2
x
2
+
7
x
+
6
2 x^{2}+7 x+6
2
x
2
+
7
x
+
6
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c.
\newline
5
(
x
+
3
)
2
=
x
3
\frac{5(x+3)}{2}=\frac{x}{3}
2
5
(
x
+
3
)
=
3
x
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P.
(
9
+
11
i
)
2
(9+11 i)^{2}
(
9
+
11
i
)
2
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x
+
3
5
=
2
x
+
3
9
\frac{x+3}{5}=\frac{2 x+3}{9}
5
x
+
3
=
9
2
x
+
3
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Solve for
x
x
x
.
\newline
−
3
x
(
5
x
+
1
)
(
8
−
2
x
)
-3x(5x + 1)(8 - 2x)
−
3
x
(
5
x
+
1
)
(
8
−
2
x
)
\newline
Get tutor help
2
2
2
)
3
x
+
10
x
2
+
9
x
+
20
\frac{3 x+10}{x^{2}+9 x+20}
x
2
+
9
x
+
20
3
x
+
10
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(
2
x
+
3
)
(
3
x
y
2
−
2
y
2
+
3
y
)
(2 x+3)\left(3 x y^{2}-2 y^{2}+3 y\right)
(
2
x
+
3
)
(
3
x
y
2
−
2
y
2
+
3
y
)
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70
70
70
.
\newline
y
=
(
2
x
2
−
2
x
)
+
1
y=\left(2 x^{2}-2 x\right)+1
y
=
(
2
x
2
−
2
x
)
+
1
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60
−
(
15
+
17
+
2
(
4
)
+
2
(
3
)
+
5
)
60-(15+17+2(4)+2(3)+5)
60
−
(
15
+
17
+
2
(
4
)
+
2
(
3
)
+
5
)
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(
x
2
+
1
)
+
(
2
x
−
1
)
(x^2 +1)+(2x -1)
(
x
2
+
1
)
+
(
2
x
−
1
)
Get tutor help
(
3
sen
x
+
1
)
−
(
3
sen
x
−
[
5
sen
x
−
4
]
)
(3 \operatorname{sen} x+1)-(3 \operatorname{sen} x-[5 \operatorname{sen} x-4])
(
3
sen
x
+
1
)
−
(
3
sen
x
−
[
5
sen
x
−
4
])
Get tutor help
x
sin
(
y
)
d
x
+
(
(
x
2
)
+
1
)
cos
(
y
)
d
y
=
0
x\sin(y) \, dx + ((x^2) + 1) \cos (y) \, dy = 0
x
sin
(
y
)
d
x
+
((
x
2
)
+
1
)
cos
(
y
)
d
y
=
0
Get tutor help
Subtract.
\newline
(
9
j
2
+
9
j
+
7
)
−
(
5
j
2
+
3
)
(9j^2 + 9j + 7) - (5j^2 + 3)
(
9
j
2
+
9
j
+
7
)
−
(
5
j
2
+
3
)
\newline
______
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Subtract.
\newline
(
5
f
2
+
7
f
+
1
)
−
(
4
f
2
+
5
f
)
(5f^2 + 7f + 1) - (4f^2 + 5f)
(
5
f
2
+
7
f
+
1
)
−
(
4
f
2
+
5
f
)
\newline
______
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Add.
\newline
(
d
2
+
6
d
+
6
)
+
(
9
d
+
9
)
(d^2 + 6d + 6) + (9d + 9)
(
d
2
+
6
d
+
6
)
+
(
9
d
+
9
)
Get tutor help
1
2
3
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