SOLUTION: How do I fully factor this? {{{(3x + 11)^2 - (5x-2)^2 }}} The answer is (-2x+3)(8x+9), but I do not know the steps of getting to it.

Algebra ->  Expressions-with-variables -> SOLUTION: How do I fully factor this? {{{(3x + 11)^2 - (5x-2)^2 }}} The answer is (-2x+3)(8x+9), but I do not know the steps of getting to it.      Log On


   



Question 903807: How do I fully factor this?
%283x+%2B+11%29%5E2+-+%285x-2%29%5E2+
The answer is (-2x+3)(8x+9), but I do not know the steps of getting to it.

Found 2 solutions by stanbon, richwmiller:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
fully factor this?
(3x + 11)^2 - (5x-2)^2
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That is a "difference of squares"
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Factor that form to get::
[(3x+11)+(5x-2)]
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= [8x + 9][-2x + 9]
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Cheers,
Stan H.
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Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!

(3x + 11)^2 - (5x-2)^2
(3x+11-5x+2) combine like terms (-2x+13)
(3x+11+5x-2) combine like terms (8x+9)
(-2x+13)(8x+9)
I think you copied the problem incorrectly
(-2x+13) not (-2x+3)