Which expression represents 36x^2-100y^2 factored completely

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18-01-2015
Mathematics

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Which expression represents 36x^2-100y^2 factored completely

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diene diene · Answer 1 · 2015-01-18T02:26:05+01:00

diene diene

18-01-2015

36 and 100 are both perfect squares
the factorization of x^2-y^2 is (x+y)(x-y)
substitute x^2 with 36x^2 and y^2 with 100y^2:
36x^2-100y^2=
(6x+10y)(6x-10y) or
4(3x+5y)(3x-5y)

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