Question

Descompuneti in factori:
a)x^2-18xy+81y^2
b)1/36x^2-xy+9y^2

Answer 1

a)x^2-18xy+81y^2=(x-9y)^2
b)1/36x^2-xy+9y^2 =(x/6+3y)^2

Answer 2

$\bold{a)} \ x^2-18xy+81y^2=x \cdot x -2 \cdot x \cdot 9y+9 \cdot 9y= \\ =\boxed{(x-9y)^2}; \\ \bold{b)} \ \frac{1}{36} x^2-xy+9y^2=\boxed{(\frac{x}{6}+3y)^2}$