(x-5)2 / 25-x2 factorize..
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Step-by-step explanation:
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Answered by
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Step-by-step explanation:
if the question is (x-5)^2/25-x^2
x^2+25-10x/25-x^2............. (1)
factorizing x^2-10x+25
x^2-5x-5x+25
x(x-5)-5(x-5)
(x-5)(x-5)..................(2)
substituting (2) in (1)
(x-5)(x-5)/25-x^2
since 25-x^2 can be written as 5^2-x^2=
(5-x)(5+x)........ using identity
(x-5)(x-5)/-(x-5)(5+x)
cancelling (x-5)
(x-5)/-(5+x)
(5-x)/(5+x)
dividing (5-x) by (5+x)
-2x
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