Chapter 8.2, Problem 1AGP

To determine

To find: The product $5a^2\left(-4a^2+2a-7\right)$

Answer to Problem 1AGP

  $-20a^4+10a^3-35a^2$

Explanation of Solution

Given:

  $5a^2\left(-4a^2+2a-7\right)$

Calculation:

The given expression is $5a^2\left(-4a^2+2a-7\right)$

Distribute $5a^2$ over the parenthesis

  $5a^2\cdot \left(-4a^2\right)+5a^2\cdot 2a+5a^2\cdot \left(-7\right)$

Simplify the expression

  $-20a^4+10a^3-35a^2$