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Algebraic Identities

Evaluate usin...

Question

Evaluate using expansion of $(a + b)^{2}$ or $(a - b)^{2}$ :
$(188)^{2}$

35444

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35484

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35344

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35384

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Solution

The correct option is C 35344
$188^{2} = {(200 - 12)}^{2}$
It is the form of ${(a - b)}^{2}$ , where $a = 200, b = 12$
Applying the formula ${(a - b)}^{2} = a^{2} + b^{2} - 2 a b$
$188^{2} = {(200 - 12)}^{2} = 200^{2} + 12^{2} - 2 \times 200 \times 12 = 40000 + 144 - 4800 = 35344$

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Evaluate :

Using expansion of $(a + b)^{2} o r (a - b)^{2}$

(i) $(208)^{2}$

(ii) $(92)^{2}$

(iii) $(415)^{2}$

(iv) $(188)^{2}$

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(vi) $(20.7)^{2}$

(59)^{2}

(a - b)^{2} = a^{2} - 2 a b + b^{2}

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