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Mathematics

Simplify the following:

(3x+y-5)(3x-y-5)

Expansions

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Answer

(3x+y-5)(3x-y-5) = (3x-5+y)(3x-5-y)

Let (3x-5)=a

Then, the given expression = (a+y)(a-y)

= a2 - y2 = (3x-5)2 - y2

= [(3x)2 - 2(3x)(5) + (5)2] - y2

= 9x2 - 30x + 25 - y2

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