What is factor x^2-4xv+4v^2 ?

The solution to factor x^2-4xv+4v^2 is (x-2v)^2

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factor x^2-4xv+4v^2

factor

x^{2} - 4 xv + 4 v^{2}

(x - 2 v)^{2}

Solution steps

x^{2} - 4 xv + 4 v^{2}

Rewrite in the form of

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

4 v^{2} = (2 v)^{2}

- 4 xv = - 2 x \cdot 2 v

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

Apply Perfect Square Formula:

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

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

= (x - 2 v)^{2}

7^{l o g_{7} (23)}

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