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

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

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factor 16d^2-24d+9

factor

16 d^{2} - 24 d + 9

(4 d - 3)^{2}

Solution steps

16 d^{2} - 24 d + 9

Rewrite in the form of

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

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

9 = 3^{2}

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

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

Apply Perfect Square Formula:

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

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

= (4 d - 3)^{2}

2 a x + 2 b

(- 3 + - 16)^{2}

4 a^{2} + 4 a + 1

\frac{1}{\frac{1}{x} + 4}

(x^{5})^{9}