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Let’s check out your problem:
Multiply.
\newline
x
(
−
x
2
+
10
x
−
10
)
x\left(-x^{2}+10 x-10\right)
x
(
−
x
2
+
10
x
−
10
)
\newline
Answer:
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Math Problems
Algebra 2
Evaluate rational exponents
Full solution
Q.
Multiply.
\newline
x
(
−
x
2
+
10
x
−
10
)
x\left(-x^{2}+10 x-10\right)
x
(
−
x
2
+
10
x
−
10
)
\newline
Answer:
Identify terms for multiplication:
Identify the terms in the polynomial that will be multiplied by
x
x
x
. The polynomial is
(
−
x
2
+
10
x
−
10
)
(-x^2 + 10x - 10)
(
−
x
2
+
10
x
−
10
)
.
Distribute
x
x
x
across terms:
Distribute
x
x
x
across each term in the polynomial.
\newline
x
⋅
(
−
x
2
)
=
−
x
3
x \cdot (-x^2) = -x^3
x
⋅
(
−
x
2
)
=
−
x
3
\newline
x
⋅
(
10
x
)
=
10
x
2
x \cdot (10x) = 10x^2
x
⋅
(
10
x
)
=
10
x
2
\newline
x
⋅
(
−
10
)
=
−
10
x
x \cdot (-10) = -10x
x
⋅
(
−
10
)
=
−
10
x
Combine distribution results:
Combine the results of the distribution to get the final expression.
−
x
3
+
10
x
2
−
10
x
-x^3 + 10x^2 - 10x
−
x
3
+
10
x
2
−
10
x
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or
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\frac{A}{B}
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\newline
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3
\newline
\newline
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A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
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\newline
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or
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B
\frac{A}{B}
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, where
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\newline
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4
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\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
______
\newline
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