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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


Team Careers360 2nd Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: 4


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

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