Question

Factor completely:
4, x, squared, left parenthesis, 4, x, plus, 3, right parenthesis, minus, 25, left parenthesis, 4, x, plus, 3, right parenthesis
4x
2
(4x+3)−25(4x+3)

Answer 1

First factor out the common factor (4x+3):

4x^2(4x+3) − 25(4x+3) = (4x+3)(4x^2 − 25).

Then factor 4x^2 − 25 as a difference of squares: 4x^2 − 25 = (2x − 5)(2x + 5).

So the completely factored form is

(4x+3)(2x−5)(2x+5).