Question

In the following exercises , simplify the equation $\hspace{0.17em}-5m\left(m^2\hspace{0.17em}+\hspace{0.17em}3m\hspace{0.17em}-\hspace{0.17em}18\right)\hspace{0.17em}$.

Short answer

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

Step-by-step solution

Step 1. Given Information.

The expression is $\hspace{0.17em}-5m\left(m^2\hspace{0.17em}+\hspace{0.17em}3m\hspace{0.17em}-\hspace{0.17em}18\right)\hspace{0.17em}$.

Step 2. Simplify given equation.

Simplifying $\hspace{0.17em}-5m\left(m^2\hspace{0.17em}+\hspace{0.17em}3m\hspace{0.17em}-\hspace{0.17em}18\right)\hspace{0.17em}$

Applying distributive law , we get:-

$$\begin{gathered} -5m\left(m^2+3m-18\right)=-5m{m}^2-5m·\hspace{0.17em}3m-5m\left(-18\right) \\ -5m{m}^2-5m·\hspace{0.17em}3m-5m\left(-18\right)=-5m^3-15m^2+90m \end{gathered}$$