Chapter 8.2, Problem 3CYU

To determine

To find: The product $4k{m}^2\left(8k{m}^2+2k^{2}m+5k\right)$

Answer to Problem 3CYU

  $32k^2{m}^4+8k^3{m}^3+20k^2{m}^2$

Explanation of Solution

Given:

  $4k{m}^2\left(8k{m}^2+2k^{2}m+5k\right)$

Calculation:

The given expression is $4k{m}^2\left(8k{m}^2+2k^{2}m+5k\right)$

Distribute $4k{m}^2$ over the parenthesis

  $4k{m}^2\cdot 8k{m}^2+4k{m}^2\cdot 2k^{2}m+4k{m}^2\cdot 5k$

Simplify the expression

  $32k^2{m}^4+8k^3{m}^3+20k^2{m}^2$