What is factor 25-10x+x^2 ?

The solution to factor 25-10x+x^2 is (x-5)^2

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factor 25-10x+x^2

factor

25 - 10 x + x^{2}

(x - 5)^{2}

Solution steps

25 - 10 x + x^{2}

Write in the standard form

= x^{2} - 10 x + 25

Rewrite in the form of

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

25 = 5^{2}

- 10 x = - 2 x \cdot 5

= x^{2} - 2 x \cdot 5 + 5^{2}

Apply Perfect Square Formula:

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

x^{2} - 2 x \cdot 5 + 5^{2} = (x - 5)^{2}

= (x - 5)^{2}

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