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B
4x2+y2+75+4xy−10y−20x
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C
4x2+y2+25+4xy−10y−10x
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D
4x2+y2+25+4xy−20y−20x
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Solution
The correct option is A4x2+y2+25+4xy−10y−20x Using the identity (a+b+c)2 = a2+b2+c2+2ab+2bc+2ca, (2x+y−5)2 = (2x)2+(y)2+(−5)2+2(2x)(y)+2(y)(−5)+2(−5)(2x) = 4x2+y2+25+4xy−10y−20x.