What is the value of $\frac{4x^2+9y^2+12xy}{144}$ ?
Answer & explanation
Correct answer: option 4
$\frac{4x^2+9y^2+12xy}{144}$
( 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
= $(\frac{x}{6}+\frac{y}{4})^2$