1
Question
What is the figure for the identity
(a+b)the whole square=(a) square + 2ab + (b) square
(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)(a−b)2=(a−b)(a−b)
=a2−ba−ab+b2
=a2−ab−ab+b2[ab=ba]
=a2+b2−2ab
⇒(a−b)2=a2+b2−2ab
(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)(a−b)2=(a−b)(a−b)
=a2−ba−ab+b2
=a2−ab−ab+b2[ab=ba]
=a2+b2−2ab
⇒(a−b)2=a2+b2−2ab
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