Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

What is the value of $\frac{4x^2+9y^2+12xy}{144}$ ?

Options:

$(\frac{x}{3}+\frac{y}{4})^2$

$(\frac{x}{3}+y)^2$

$(\frac{x}{4}+\frac{y}{6})^2$

$(\frac{x}{6}+\frac{y}{4})^2$

Correct Answer:

$(\frac{x}{6}+\frac{y}{4})^2$

Explanation:

$\frac{4x^2+9y^2+12xy}{144}$

( a + b ) = \(\frac{a^3 + b^3}{a^2 + b^2 - ab }\)

= $\frac{(2x+3y)^2}{(12)^2}$

= [\(\frac{2x}{12}\) +  \(\frac{3x}{12}\) ]2

$(\frac{x}{6}+\frac{y}{4})^2$