What is factor x^2-28x+196 ?

The solution to factor x^2-28x+196 is (x-14)^2

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factor x^2-28x+196

factor

x^{2} - 28 x + 196

(x - 14)^{2}

Solution steps

x^{2} - 28 x + 196

Rewrite in the form of

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

196 = 1 4^{2}

- 28 x = - 2 x \cdot 14

= x^{2} - 2 x \cdot 14 + 1 4^{2}

Apply Perfect Square Formula:

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

x^{2} - 2 x \cdot 14 + 1 4^{2} = (x - 14)^{2}

= (x - 14)^{2}

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