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

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

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factor 16x^2-24x+9

factor

16 x^{2} - 24 x + 9

(4 x - 3)^{2}

Solution steps

16 x^{2} - 24 x + 9

Rewrite in the form of

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

16 x^{2} = (4 x)^{2}

9 = 3^{2}

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

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

Apply Perfect Square Formula:

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

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

= (4 x - 3)^{2}

8 x^{2} + 24 x + 18

\frac{1}{2} (3 n - 5) = - \frac{13}{10} (- 2 n - 4)

x^{18}

6 + 8

5 a^{2} = 26 a + 24