Chapter 8.2, Problem 24PPS

To determine

To find the product.

Answer to Problem 24PPS

  $-13x^2-9x-27$

Explanation of Solution

Given:

  $-3\left(5x^2+2x+9\right)+x\left(2x-3\right)$

Calculation:

Solving the given expression,

  $\Rightarrow -3\left(5x^2+2x+9\right)+x\left(2x-3\right)$

  $\Rightarrow -3\cdot 5x^2-3\cdot 2x-3\cdot 9+x\cdot 2x+x\cdot \left(-3\right)$

  $\Rightarrow -15x^2-6x-27+2x^2-3x$

  $\Rightarrow -15x^2+2x^2-6x-3x-27$

  $\Rightarrow -13x^2-9x-27$

Conclusion:

Therefore, the product is $-13x^2-9x-27$ .