What is factor x^2-32x+256 ?

The solution to factor x^2-32x+256 is (x-16)^2

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factor x^2-32x+256

factor

x^{2} - 32 x + 256

(x - 16)^{2}

Solution steps

x^{2} - 32 x + 256

Rewrite in the form of

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

256 = 1 6^{2}

- 32 x = - 2 x \cdot 16

= x^{2} - 2 x \cdot 16 + 1 6^{2}

Apply Perfect Square Formula:

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

x^{2} - 2 x \cdot 16 + 1 6^{2} = (x - 16)^{2}

= (x - 16)^{2}

3 - 23 x = - 14 (x - 21) - 15 (x + 33)

\frac{2}{3} \cdot 1

\frac{2}{x + 5} > \frac{1}{x - 4}

(k + 1)! + (k + 1) (k + 1)!

r^{2} + 4 r + 2 = 0