Q. 257 - Intermediate Algebra

Question

In the following exercises, factor completely. 

$4u^{5}v+4u^2{v}^3$

Step-by-Step Solution

Answer

The required factors are $4u^{2}v(u^3+v^2)$

Step 1. Given Information

The given expression is $4u^{5}v+4u^2{v}^3$

Step 2. Calculation

We will find the factors by taking common factor out.

$4u^{5}v+4u^2{v}^3=4u^{2}v(u^3+v^2)$

Step 3. Check

We will verify the factors by multiplying the factors.

$4u^{2}v(u^3+v^2)=4u^{5}v+4u^2{v}^3$