Using the identities of algebraic expressions, find the value of ${(69)}^{2}$ .

7461

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4761

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7641

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6741

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Solution

The correct option is B 4761
${(69)}^{2}$
= ${(70 - 1)}^{2}$
Using the identity: $(a - b)^{2} = a^{2} + b^{2} - 2 a b$
= ${(70)}^{2}$ + ${(1)}^{2}$ - 2(70)(1)
= 4900 + 1 - 140
= 4761

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