Using the identities of algebric expressions, the value of
$(4.9)^{2}$ is .

23.99

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24.01

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25.01

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Solution

The correct option is B 24.01
$(4.9)^{2}$ can be written as $(5 - 0.1)^{2} .$
Using the identity:
$(a - b)^{2} = a^{2} + b^{2} - 2 a b$
$(5.0 - 0.1)^{2} = (5)^{2} + (0.1)^{2} - 2 (5) (0.1) = 25 + 0.01 - 1 = 24.01$

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