SOLUTION: factorize 9x square

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

Question 1037982: factorize 9x square - 4(y 2x)square
Answer by addingup(3677) (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)
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