The correct option is B 737We know that nbsp;a^2 b^2 = (a + b)(a – b) On comparing (369)^2 nbsp;– (368)^2 with nbsp;the identity, we have a = 369 and b ...

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Standard VIII

Mathematics

Applying Difference of Squares as a Product of Its Sum and Difference

Evaluate:3692...

Question

Evaluate:
${(369)}^{2} - {(368)}^{2}$

758

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737

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658

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637

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Solution

The correct option is B 737
We know that $a^{2} - b^{2} = (a + b) (a - b)$

On comparing ${(369)}^{2} - {(368)}^{2}$ with the identity, we have a = 369 and b = 368

$(369^{2} - 368^{2})$
$= (369 + 368) (369 - 368)$
$= 737 \times 1$
$= 737$

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Similar questions

Q. Evaluate:

{(369)}^{2} - {(368)}^{2}

Q. The value of

(369)^{2} - (368)^{2}

using identity is .

Q. The value of (369)² − (368)² = ?
(a) 1²
(b) 81
(c) 37
(d) 737

Q. Name the process represented below:
(a)

_{92}^{235} U +_{0}^{1} n ⟶_{56}^{141} B a +_{36}^{92} K r + 3_{0}^{1} n + 200 M e V

(b)

_{1}^{2} H +_{1}^{3} H ⟶_{2}^{4} H e +_{0}^{1} n + 17.6 M e V

(c)

_{29}^{63} C u +_{2}^{4} H e + 400 M e V ⟶_{17}^{37} C l + 14_{1}^{1} H + 16_{0}^{1} n

Evaluate : $\int \frac{x^{3}}{(x - 1) (x^{2} + 1)} d x .$

Evaluate $\int \frac{s i n x - x c o s x}{x (x + s i n x)}$ dx.

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Evaluate: (369)2–(368)2

The correct option is B 737We know that a2−b2=(a+b)(a–b) On comparing (369)2–(368)2 with the identity, we have a = 369 and b = 368 (3692−3682) =(369+368)(369–368) =737×1 =737

Evaluate:
${(369)}^{2} - {(368)}^{2}$

The correct option is B 737
We know that $a^{2} - b^{2} = (a + b) (a - b)$

On comparing ${(369)}^{2} - {(368)}^{2}$ with the identity, we have a = 369 and b = 368

$(369^{2} - 368^{2})$
$= (369 + 368) (369 - 368)$
$= 737 \times 1$
$= 737$