What is factor 9a^2-6ab+b^2 ?

The solution to factor 9a^2-6ab+b^2 is (3a-b)^2

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factor 9a^2-6ab+b^2

factor

9 a^{2} - 6 ab + b^{2}

(3 a - b)^{2}

Solution steps

9 a^{2} - 6 ab + b^{2}

Rewrite in the form of

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

9 a^{2} = (3 a)^{2}

- 6 ab = - 2 \cdot 3 ab

= (3 a)^{2} - 2 \cdot 3 ab + b^{2}

Apply Perfect Square Formula:

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

(3 a)^{2} - 2 \cdot 3 ab + b^{2} = (3 a - b)^{2}

= (3 a - b)^{2}

2 x^{2} - 5 x

\frac{x ^{2} y ^{5}}{x y ^{4}}

6 x^{2} + 72 x + 210

\frac{1}{4} - \frac{13}{8} x = - \frac{6}{5} x + \frac{11}{6}

- ab (c x + d) - a^{2} b (c x + d)