Using the identities of algebraic expressions, find the value of ${(190)}^{2}$ .

61300

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63100

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31600

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36100

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Solution

The correct option is D 36100
${(190)}^{2}$
= ${(200 - 10)}^{2}$
Using the identity: $(a - b)^{2} = a^{2} + b^{2} - 2 a b$
= ${(200)}^{2}$ + ${(10)}^{2}$ - 2(200)(10)
= 40000 + 100 - 4000
= 36100

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