Question

Can someone please help me Factor 100x2−20xy+y2

Answer 1

(10x-y)^2

Explanation:

1

Rewrite it in the form {a}^{2}-2ab+{b}^{2}a2−2ab+b2, where a=10xa=10x and b=yb=y.

{(10x)}^{2}-2(10x)(y)+{y}^{2}(10x)2−2(10x)(y)+y2

2

Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}(a−b)2=a2−2ab+b2.

{(10x-y)}^{2}(10x−y)2