Question : Simplify the given expression.
$\frac{(326 + 222)^{2} - (326 - 222)^{2}}{(326 \times 222)}$
Option 1: 1
Option 2: 4
Option 3: 3
Option 4: 2

Question

Question : Simplify the given expression.
$\frac{432 \times 432 + 247 \times 247 - 432 \times 247}{432 \times 432 \times 432 + 247 \times 247 \times 247}$
Option 1: $\frac{1}{259}$
Option 2: $\frac{1}{185}$
Option 3: $\frac{1}{679}$
Option 4: $\frac{1}{450}$

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Answer 1

Correct Answer: 4

Solution : Given:
$\frac{(326 + 222)^{2} - (326 - 222)^{2}}{(326 \times 222)}$
$= \frac{(326 + 222 + 326 - 222) (326 + 222 - 326 + 222)}{(326 \times 222)}$
$= \frac{652 \times 444}{326 \times 222}$
$= 4$
Hence, the correct answer is 4.

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Question : Simplify the given expression. (326+222)2−(326−222)2(326×222)Option 1: 1Option 2: 4Option 3: 3Option 4: 2

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Question : Simplify the given expression.
$\frac{(326 + 222)^{2} - (326 - 222)^{2}}{(326 \times 222)}$
Option 1: 1
Option 2: 4
Option 3: 3
Option 4: 2