What is factor x^2-38x+361 ?

The solution to factor x^2-38x+361 is (x-19)^2

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factor x^2-38x+361

factor

x^{2} - 38 x + 361

(x - 19)^{2}

Solution steps

x^{2} - 38 x + 361

Rewrite in the form of

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

361 = 1 9^{2}

- 38 x = - 2 x \cdot 19

= x^{2} - 2 x \cdot 19 + 1 9^{2}

Apply Perfect Square Formula:

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

x^{2} - 2 x \cdot 19 + 1 9^{2} = (x - 19)^{2}

= (x - 19)^{2}

x^{2} - 11 x \geq - 28

9 x^{4} - 12 x^{2} + 4

\frac{9}{x y} + \frac{x ^{2}}{y}

(- x y)^{2} \cdot 8 x^{- 7} y^{- 2}

\frac{y + 1}{2} = - 2 (y + 1)