Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

What is the value of $\frac{9x^2 + 12 xy +4y^2}{36}$ ?

Options:

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

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

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

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

Correct Answer:

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

Explanation:

$\frac{9x^2 + 12 xy +4y^2}{36}$

This equation can be written as =

\(\frac{(3x + 2y)^2}{6^2}\) = $(\frac{x}{2}+\frac{y}{3})^2$