Simplify: 4x²-49y²over 2x+7y+7y-2x

Simplify: ${{4x^2-49y^2}\over {2x+7y}}+7y-2x$

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 0.

a² – b² = (a + b)(a – b)

Now, ${{4x^2-49y^2}\over {2x+7y}}+7y-2x$

$={{(2x+7y)(2x-7y)}\over {2x+7y}}+7y-2x$

= (2x - 7y) + 7y - 2x

= 2x - 7y + 7y - 2x

= 0

Therefore, the value of the given expression is 0.

SSC CGL 2024 PYQ — Question 66