What is factor 9a^2-24a+16 ?

The solution to factor 9a^2-24a+16 is (3a-4)^2

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factor 9a^2-24a+16

factor

9 a^{2} - 24 a + 16

(3 a - 4)^{2}

Solution steps

9 a^{2} - 24 a + 16

Rewrite in the form of

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

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

16 = 4^{2}

- 24 a = - 2 \cdot 3 a \cdot 4

= (3 a)^{2} - 2 \cdot 3 a \cdot 4 + 4^{2}

Apply Perfect Square Formula:

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

(3 a)^{2} - 2 \cdot 3 a \cdot 4 + 4^{2} = (3 a - 4)^{2}

= (3 a - 4)^{2}

\frac{8}{12} + \frac{6}{12}

6 \frac{7}{10}

(- 11)^{3}

\frac{\frac{x}{6}}{6}

(4^{\frac{1}{3}})^{6}