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

Sagot :

Answer:

(10x-y)^2

Step-by-step 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