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Algebraic Identities

Evaluate usin...

Question

Evaluate using expansion of $(a + b)^{2}$ or $(a - b)^{2}$ :
$(208)^{2}$

45264

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45294

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43284

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43264

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Solution

The correct option is D 43264
$208^{2} = {(200 + 8)}^{2}$
It is the form of ${(a + b)}^{2}$ , where $a = 200, b = 8$
Applying
the formula ${(a + b)}^{2} = a^{2} + b^{2} + 2 a b$
$208^{2} = {(200 + 8)}^{2} = 200^{2} + 8^{2} + 2 \times 200 \times 8 = 40000 + 64 + 3200 = 43264$

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Similar questions

(a + b)^{2}

(a - b)^{2}

(188)^{2}

(a + b)^{2}

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(a + b)^{2}

(a - b)^{2}

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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) $(188)^{2}$

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

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

\begin{matrix} Evaluate using expansion of (a + b)^{2} o r (a - b)^{2} : \end{matrix}

(208)^{2}

(92)^{2}

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