SOLUTION: I am trying to factor the following: (x^2+20xy+100y^2)z^2-16(x^2+20xy+100y^2) Thank you for any help you can give me. I know each equation in the parenthesis is a special product

Algebra ->  Inequalities -> SOLUTION: I am trying to factor the following: (x^2+20xy+100y^2)z^2-16(x^2+20xy+100y^2) Thank you for any help you can give me. I know each equation in the parenthesis is a special product      Log On


   

Question 585171: I am trying to factor the following: (x^2+20xy+100y^2)z^2-16(x^2+20xy+100y^2)
Thank you for any help you can give me. I know each equation in the parenthesis is a special product but don't know really how to proceed? Thanking you inadvance for you're help! robin
Found 2 solutions by stanbon, scott8148:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(x^2+20xy+100y^2)z^2-16(x^2+20xy+100y^2)
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(x+10y)^2*z^2-16(x+10y)^2
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= (x+10y)^2[z^2-16)
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= (x+10y)^2(z-4)(z+4)
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Cheers,
Stan H.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
factoring out the "special products" ___ (x^2 + 20xy + 100y^2)(z^2 - 16)

factoring sp and difference of squares ___ (x + 10y)(x + 10y)(z + 4)(z - 4)