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SSC CGL 2024 PYQ — Question 66

SSC CGL - 18 Sep 2024 - Shift 3 • Quantitative Aptitude • Q66

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Simplify the given expression.

(4x2+9y2−12xy)(3y−2x) (4x^2+9y^2-12xy)\over (3y-2x)

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 3y - 2x.

(4x2+9y2−12xy)(3y−2x) (4x^2+9y^2-12xy)\over (3y-2x)

=(2x)2+(3y)2−2×2x×3y(3y−2x)=\frac{(2x)^2+(3y)^2- 2\times 2x\times 3y}{(3y-2x)}

= (3y−2x)2(3y−2x)\frac{(3y - 2x)^2}{(3y - 2x)}

= 3y - 2x