Question

Multiply.
x, squared, left parenthesis, 8, x, squared, plus, 6, x, plus, 2, right parenthesis
x
2
(8x
2
+6x+2)

Answer 1

To multiply \( x^2 \) by the expression \( (8x^2 + 6x + 2) \), you can distribute \( x^2 \) to each term inside the parentheses.

Here is the step-by-step multiplication:

\[
x^2 (8x^2 + 6x + 2) = x^2 \cdot 8x^2 + x^2 \cdot 6x + x^2 \cdot 2
\]

Calculating each term:

1. \( x^2 \cdot 8x^2 = 8x^{2+2} = 8x^4 \)
2. \( x^2 \cdot 6x = 6x^{2+1} = 6x^3 \)
3. \( x^2 \cdot 2 = 2x^2 \)

Now combine the results:

\[
8x^4 + 6x^3 + 2x^2
\]

Thus, the final result is:

\[
\boxed{8x^4 + 6x^3 + 2x^2}
\]