Q. 6.75 - Intermediate Algebra

Question

Factor completely: $50x^{3}y+72xy$

Step-by-Step Solution

Answer

The required factors are $2xy(25x^2+36)$

Step 1. Given Information

The given expression is $50x^{3}y+72xy$

Step 2. Calculation

We will factor the expression by taking the common factor outside the paranthesis. 

$50x^{3}y+72xy=2xy(25x^2+36)$

Step 3. Check

We will verify the obtained factors by multiplying them.

$2xy(25x^2+36)=50x^{3}y+72xy$