23-08-2022
Mathematics

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Find an expression which represents the sum of (7x-y)(7x−y) and (5x+3y)(5x+3y) in simplest terms.

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23-08-2022

Answer:

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Step-by-step explanation:

[tex](7x - y)(7x - y) + (5x+3y)(5x+3y)\\\\=(7x-y)^2+(5x+3y)^2\\=(49x^2-14xy+y^2)+(25x^2+30xy+9y^2)\\\\\boxed{=74x^2+16xy+10y^2}[/tex]

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