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Algebraic Identities

Evaluate usin...

Question

Evaluate using the expansion of $(a + b)^{2}$ or $(a - b)^{2}$ :
$(92)^{2}$

8444

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8464

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8474

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8414

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Solution

The correct option is B 8464
Given: $92^{2} = {(90 + 2)}^{2}$
It is in the form of ${(a + b)}^{2}$ , where $a = 90, b = 2$ .
Applying the formula ${(a + b)}^{2} = a^{2} + b^{2} + 2 a b$ we get,

$92^{2} = {(90 + 2)}^{2}$

$= 90^{2} + 2^{2} + 2 \times 90 \times 2$

$= 8100 + 4 + 360 = 8464$

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Similar questions

(a + b)^{2}

(a - b)^{2}

(208)^{2}

(a + b)^{2}

(a - b)^{2}

(188)^{2}

Evaluate :

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

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

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

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

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

(v) $(9.4)^{2}$

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

(a + b)^{2}

(a - b)^{2}

(20.7)^{2}

1

0

(59)^{2}

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

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