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Match the expressions in Column A with their expanded forms in Column B. Use the identities (a+b)2 = a2+2ab+b2 and (a−b)2 = a2−2ab+b2.

Mathematics

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1. Match the expressions in Column A with their expanded forms in Column B.

We use the identities (a+b)2=a2+2ab+b2(a+b)^2 = a^2+2ab+b^2 and (a−b)2=a2−2ab+b2(a-b)^2 = a^2-2ab+b^2.

  • a) (x+y)2=x2+2xy+y2(x+y)^2 = x^2+2xy+y^2
  • b) (x−y)2=x2−2xy+y2(x-y)^2 = x^2-2xy+y^2
  • c) (2x+y)2=(2x)2+2(2x)(y)+y2=4x2+4xy+y2(2x+y)^2 = (2x)^2+2(2x)(y)+y^2 = 4x^2+4xy+y^2
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