Q. 264

In the following exercises , simplify the equation $- 5 m (m^{2} + 3 m - 18)$ .

Verified

Answer

The simplified expression is $- 5 m^{3} - 15 m^{2} + 90 m$ .

1Step 1. Given Information.

The expression is $- 5 m (m^{2} + 3 m - 18)$ .

2Step 2. Simplify given equation.

Simplifying $- 5 m (m^{2} + 3 m - 18)$

Applying distributive law , we get:-

$- 5 m (m^{2} + 3 m - 18) = - 5 m m^{2} - 5 m \cdot 3 m - 5 m (- 18) - 5 m m^{2} - 5 m \cdot 3 m - 5 m (- 18) = - 5 m^{3} - 15 m^{2} + 90 m$