Q. 260 - Intermediate Algebra

Question

In the following exercises, factor completely. 

$25x^2+35xy+49y^2$

Step-by-Step Solution

Answer

The trinomial is prime and has no factors. 

Step 1. Given Information

The given expression is $25x^2+35xy+49y^2$

Step 2. Calculation

We will find the factors by either using the biomial or trinomial pattern.

But while simplifying the expression, the equation will have no factor that is there is no factor pair whose sum is 35.

Thus, the trinomial is prime.