Chapter 8.2, Problem 10CYU

To determine

To simplify: The expression $-5w^2\left(8w^{2}x-11w{x}^2\right)+6x\left(9w{x}^4-4w-3x^2\right)$

Answer to Problem 10CYU

  $-40w^{4}x+55w^3{x}^2+54w{x}^5-24xw-18x^3$

Explanation of Solution

Given:

  $-5w^2\left(8w^{2}x-11w{x}^2\right)+6x\left(9w{x}^4-4w-3x^2\right)$

Calculation:

The given expression is $-5w^2\left(8w^{2}x-11w{x}^2\right)+6x\left(9w{x}^4-4w-3x^2\right)$

Remove the parenthesis

  $-5w^2\cdot 8w^{2}x-5w^2\cdot \left(-11w{x}^2\right)+6x\cdot 9w{x}^4+6x\cdot \left(-4w\right)+6x\cdot \left(-3x^2\right)$

Simplify the expression

  $-40w^{4}x+55w^3{x}^2+54w{x}^5-24xw-18x^3$