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Question

Expand this:- (3x+4y)(3x+5y)

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Solution

Solution:-
(3x+4y)(3x+5y)
=[3x(3x+5y)]+[4y(3x+5y)]
=[3x(3x)+3x(5y)]+[4y(3x)+4y(5y)]
=(9x2+15xy)+(12xy+20y2)
=9x2+15xy+12xy+20y2
=9x2+27xy+20y2
Hence (3x+4y)(3x+5y)=9x2+27xy+20y2

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