Question

Factor 6x^4 - 5x^2 + 12x^2 - 10 by grouping. What is the resulting expression?

Answer 1

`(6x^2 -5) (x^2 +2 )`

Step-by-step-explanation:

We are given the following expression and we are to factorize it by grouping:

`6x^4 - 5x^2 + 12x^2 - 10`

We will group the first two terms and the last two terms to get:

`(6x^4 - 5x^2) + (12x^2 - 10)`

For the first group we need to factor out x^2 and for the second group we will factor out 2.

`x^2(6x^2 - 5) + 2(6x^2 - 5)`

`(6x^2 -5) (x^2 +2 )`