Question
Multiply.
x, squared, left parenthesis, minus, 2, x, squared, minus, x, minus, 10, right parenthesis
x
2
(−2x
2
−x−10)
x, squared, left parenthesis, minus, 2, x, squared, minus, x, minus, 10, right parenthesis
x
2
(−2x
2
−x−10)
Answers
GPT-4o mini
To multiply \( x^2 \) by the expression \(-2x^2 - x - 10\), you distribute \( x^2 \) to each term in the parentheses.
Starting with the expression:
\[
x^2 \cdot (-2x^2 - x - 10)
\]
- First, multiply \( x^2 \) by \(-2x^2\):
\[
x^2 \cdot (-2x^2) = -2x^4
\]
- Next, multiply \( x^2 \) by \(-x\):
\[
x^2 \cdot (-x) = -x^3
\]
- Lastly, multiply \( x^2 \) by \(-10\):
\[
x^2 \cdot (-10) = -10x^2
\]
Now, combine all the terms together:
\[
-2x^4 - x^3 - 10x^2
\]
Thus, the final result of the multiplication is:
\[
\boxed{-2x^4 - x^3 - 10x^2}
\]
Starting with the expression:
\[
x^2 \cdot (-2x^2 - x - 10)
\]
- First, multiply \( x^2 \) by \(-2x^2\):
\[
x^2 \cdot (-2x^2) = -2x^4
\]
- Next, multiply \( x^2 \) by \(-x\):
\[
x^2 \cdot (-x) = -x^3
\]
- Lastly, multiply \( x^2 \) by \(-10\):
\[
x^2 \cdot (-10) = -10x^2
\]
Now, combine all the terms together:
\[
-2x^4 - x^3 - 10x^2
\]
Thus, the final result of the multiplication is:
\[
\boxed{-2x^4 - x^3 - 10x^2}
\]