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10
x
8
y
4
−
6
x
4
y
5
\frac{10 x^{8} y^{4}}{-6 x^{4} y^{5}}
−
6
x
4
y
5
10
x
8
y
4
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Math Problems
Algebra 2
Add, subtract, multiply, and divide polynomials
Full solution
Q.
10
x
8
y
4
−
6
x
4
y
5
\frac{10 x^{8} y^{4}}{-6 x^{4} y^{5}}
−
6
x
4
y
5
10
x
8
y
4
Identify Terms:
Identify the terms in the numerator and the denominator.
\newline
Numerator:
10
x
8
y
4
10x^8y^4
10
x
8
y
4
\newline
Denominator:
−
6
x
4
y
5
-6x^4y^5
−
6
x
4
y
5
Simplify Coefficients and Variables:
Simplify the coefficients and the variables separately.
\newline
Coefficients:
10
−
6
=
−
5
3
\frac{10}{-6} = -\frac{5}{3}
−
6
10
=
−
3
5
\newline
Variables:
x
(
8
−
4
)
=
x
4
x^{(8-4)} = x^4
x
(
8
−
4
)
=
x
4
,
y
(
4
−
5
)
=
y
−
1
y^{(4-5)} = y^{-1}
y
(
4
−
5
)
=
y
−
1
Combine Coefficients and Variables:
Combine the simplified coefficients and variables.
\newline
−
5
3
×
x
4
×
y
−
1
-\frac{5}{3} \times x^4 \times y^{-1}
−
3
5
×
x
4
×
y
−
1
\newline
This can be written as:
(
−
5
3
)
x
4
/
y
(-\frac{5}{3})x^4/y
(
−
3
5
)
x
4
/
y
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\newline
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