What is factor 100x^2-20xy+y^2 ?

The solution to factor 100x^2-20xy+y^2 is (10x-y)^2

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factor 100x^2-20xy+y^2

factor

100 x^{2} - 20 x y + y^{2}

(10 x - y)^{2}

Solution steps

100 x^{2} - 20 x y + y^{2}

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

100 x^{2} = (10 x)^{2}

- 20 x y = - 2 \cdot 10 x y

= (10 x)^{2} - 2 \cdot 10 x y + y^{2}

Apply Perfect Square Formula:

a^{2} - 2 ab + b^{2} = (a - b)^{2}

(10 x)^{2} - 2 \cdot 10 x y + y^{2} = (10 x - y)^{2}

= (10 x - y)^{2}

9 x - 7 x = - 12

3 x^{2} - 4 x \geq 7

\frac{2 x - 7}{9 - 4 x} \leq - 2

218 + 32 + 162

3 (x + 3)^{2} + 12 (x + 3)

What is factor 100x^2-20xy+y^2 ?
The solution to factor 100x^2-20xy+y^2 is (10x-y)^2