96x^2-6y^2
Factoring out 6 from (96x2−6y2), we get:
6(16x2−y2)
Factoring the equation above:
6(4x−y)(4x+y)→ final answer
Checking using FOIL method:
(4x−y)(4x+y)=16x2+4xy−4xy−y2=16x2−y2
6(16x2−y2)=(96x2−6y2)
Did I do it right???
Factor the following: 96 x^2-6 y^2 Factor 6 out of 96 x^2-6 y^2: 6 (16 x^2-y^2) 16 x^2-y^2 = (4 x)^2-y^2: 6 ((4 x)^2-y^2) Factor the difference of two squares. (4 x)^2-y^2 = (4 x-y) (4 x+y): Answer: | | 6 (4 x-y) (4 x+y)
