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Question

What is the figure for the identity

(a+b)the whole square=(a) square + 2ab + (b) square
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Solution



(i)(a+b)2=(a+b)(a+b)

=a2+ab+ba+b2

=a2+ab+ab+b2[ab=ba]

=a2+b2+2ab

(a+b)2=a2+b2+2ab


(ii)(ab)2=(ab)(ab)

=a2baab+b2

=a2abab+b2[ab=ba]

=a2+b22ab

(ab)2=a2+b22ab

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