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Question

The expansion of (2x+y5)2 is :

A
4x2+y2+25+4xy10y20x
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B
4x2+y2+75+4xy10y20x
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C
4x2+y2+25+4xy10y10x
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D
4x2+y2+25+4xy20y20x
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Solution

The correct option is A 4x2+y2+25+4xy10y20x
Using the identity ( a+b+c)2 = a2+b2+c2+2ab+2bc+2ca,
(2x+y5)2 = (2x)2+(y)2+(5)2+2(2x)(y)+2(y)(5)+2(5)(2x) = 4x2+y2+25+4xy10y20x.

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