Question

Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?

Answer 1

Hi, let's there!

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

Rewriting this equation as:

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

Now putting 6x^2 as commun factor

6x^2.( x^2 +2) -5x^2-10

Now putting -5 as commun factor

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

Now putting (x^2+2) as commun factor

(x^2 + 2).( 6x^2 +2)

Now putting 2 as commun factor on the expression 6x^2 +2

6x^2+2 = 2.( 3x^2 +1)

Then stay:

2.( x^2 +2).( 3x^2 +1)