Chapter 8.2, Problem 20PPS

To determine

To find the product.

Answer to Problem 20PPS

  $3m^6+36m^5-6m^4-75m^3$

Explanation of Solution

Given:

  $-3m^3\left(2m^3-12m^2+2m+25\right)$

Calculation:

Solving the given expression,

  $\Rightarrow -3m^3\left(2m^3-12m^2+2m+25\right)$

  $\Rightarrow -3m^3\cdot 2m^3-3m^3\cdot \left(-12m^2\right)-3m^3\cdot 2m-3m^3\cdot 25$

  $\Rightarrow 3m^6+36m^5-6m^4-75m^3$

Conclusion:

Therefore, the product is $3m^6+36m^5-6m^4-75m^3$ .