The correct option is A 400Given: (52)^2 (48)^2 This is in the form of nbsp; (a)^2 (b)^2 where, a = 52 and b = 48. We know that (a)^2 (b)^2 nbsp;=(a + b ...

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Byju's Answer

Standard VIII

Mathematics

Algebraic Identity: (a - b)(a + b) = a^2 - b^2

522-482=

Question

$(52)^{2} - (48)^{2}$ = .

400

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200

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300

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500

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Solution

The correct option is A 400
Given: $(52)^{2} - (48)^{2}$
This is in the form of $(a)^{2} - (b)^{2}$ where, a = 52 and b = 48.
We know that $(a)^{2} - (b)^{2} = (a + b) (a - b)$

$∴ (52)^{2} - (48)^{2} = (52 + 48) (52 - 48)$
$\Rightarrow (52)^{2} - (48)^{2} = 100 \times 4 = 400$

Suggest Corrections

(52)2−(48)2 = .

The correct option is A 400Given: (52)2−(48)2 This is in the form of (a)2−(b)2 where, a = 52 and b = 48. We know that (a)2−(b)2=(a+b)(a−b) ∴(52)2−(48)2=(52+48)(52−48) ⇒(52)2−(48)2=100×4=400

$(52)^{2} - (48)^{2}$ = .

The correct option is A 400
Given: $(52)^{2} - (48)^{2}$
This is in the form of $(a)^{2} - (b)^{2}$ where, a = 52 and b = 48.
We know that $(a)^{2} - (b)^{2} = (a + b) (a - b)$

$∴ (52)^{2} - (48)^{2} = (52 + 48) (52 - 48)$
$\Rightarrow (52)^{2} - (48)^{2} = 100 \times 4 = 400$