Question

Factorize 9y^2-4xy+4x^2/9

Answer 1

Answer:

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

Step-by-step explanation:

$=9y^{2}-4xy+\frac{4x^{2}}{9}\\=(3y)^{2}-2\times3y\times\frac{2}{3}x+(\frac{2}{3}x)^{2}\\ Using (a-b)^{2}=a^{2}-2ab+b^{2} :\\=(3y-\frac{2}{3}x)^{2}\\Hence\: \: proved!$