Question

Multiply.
minus, 10, x, squared, left parenthesis, minus, 8, x, squared, minus, 6, x, minus, 2, right parenthesis
−10x
2
(−8x
2
−6x−2)

Answer 1

To multiply \(-10x^2\) by the expression \(-8x^2 - 6x - 2\), we’ll distribute \(-10x^2\) to each term inside the parentheses.

1. Multiply \(-10x^2\) by \(-8x^2\):
\[
-10x^2 \cdot -8x^2 = 80x^4
\]

2. Multiply \(-10x^2\) by \(-6x\):
\[
-10x^2 \cdot -6x = 60x^3
\]

3. Multiply \(-10x^2\) by \(-2\):
\[
-10x^2 \cdot -2 = 20x^2
\]

Now, combine all these results:
\[
80x^4 + 60x^3 + 20x^2
\]

Thus, the final result of the multiplication is:
\[
\boxed{80x^4 + 60x^3 + 20x^2}
\]