Using the identities of algebraic expressions, the value of ${(4.9)}^{2}$ will be.

24.01

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25.02

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Solution

The correct option is A 24.01
To find the value of ${(4.9)}^{2}$ , we use the identity
$(a - b)^{2} = a^{2} + b^{2} - 2 a b$
${(4.9)}^{2}$
= ${(5.0 - 0.1)}^{2}$
= ${(5)}^{2}$ + ${(0.1)}^{2}$ - 2 (5) (0.1)
=25 + 0.01 - 1
=24.01

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