Question

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

Answer 1

12 goes with 6 and 5 with 10

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

Answer 2

Factorized form of the expression will be (x² + 2)(6x²- 5).

Explanation:

In the given expression we have to factorize it by grouping.

For which we will divide the expression in 2 groups as below.

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

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

Now we take the common terms x² from first term and 2 from second group.

= x²(6x² - 5) + 2(6x² - 5)

= (x² + 2)(6x² - 5)

Therefore, resulting expression after factorization will be (x² + 2)(6x² - 5)