Answer to Question #246538 in Algebra for Maica

Question

1/4 x² - 1/4 xy + 1/16 y² Factor it

Answer 1

Find the greatest common factor of the terms

$\frac{1}{4}$

let's focus on:

$\frac{1}{4}x^2-\frac{1}{4}xy+\frac{1}{16}y^2$

Separate out $\frac{1}{4}$​ from each term

$\frac{1}{4}(x^2)+ \frac{1}{4}(-yx)+ \frac{1}{4}(\frac{y^2}{4})$

Factor out the greatest common factor

$\frac{1}{4}(x^2-yx+\frac{y^2}{4})$

Factor

$\frac{1}{4}(x-\frac{y}{2})^2$