What is factor 9-6x+x^2 ?

The solution to factor 9-6x+x^2 is (x-3)^2

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factor 9-6x+x^2

factor

9 - 6 x + x^{2}

(x - 3)^{2}

Solution steps

9 - 6 x + x^{2}

Write in the standard form

= x^{2} - 6 x + 9

Rewrite in the form of

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

9 = 3^{2}

- 6 x = - 2 x \cdot 3

= x^{2} - 2 x \cdot 3 + 3^{2}

Apply Perfect Square Formula:

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

x^{2} - 2 x \cdot 3 + 3^{2} = (x - 3)^{2}

= (x - 3)^{2}

∣ x - 5 ∣ \geq 4

x^{2} - 2 x + 3 = 2 x^{2} - 4 x - 3

1 + \frac{12}{x + 1} \leq \frac{12}{x}

(x - 7)^{\frac{7}{2}} - 49 (x - 7)^{\frac{3}{2}}

12 x^{3} + 48 x^{2} + 48 x