SOLUTION: factorize 9x square - 4(y 2x)square

Algebra ->  College  -> Linear Algebra -> SOLUTION: factorize 9x square - 4(y 2x)square      Log On


   

Question 1037982: factorize 9x square - 4(y 2x)square
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the following:
9x^2-4(y2x)^2
9x^2-4*2^2y^2x^2
2^2 = 4:
9x^2-4*4y^2x^2
-4×4 = -16:
9x^2+-16y^2x^2
x^2(9-16 y^2)
Factor -1 out of 9-16 y^2:
x^2×-(16 y^2-9)
16y^2-9 = (4y)^2-3^2:
-x^2(4 y)^2-3^2
Factor the difference of two squares: (4y)^2-3^2 = (4y-3)(4 y+3)And you get your factor: -x^2(4y-3)(4y+3)