What is factor 64v^2-48v+9 ?

The solution to factor 64v^2-48v+9 is (8v-3)^2

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factor 64v^2-48v+9

factor

64 v^{2} - 48 v + 9

(8 v - 3)^{2}

Solution steps

64 v^{2} - 48 v + 9

Rewrite in the form of

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

64 v^{2} = (8 v)^{2}

9 = 3^{2}

- 48 v = - 2 \cdot 8 v \cdot 3

= (8 v)^{2} - 2 \cdot 8 v \cdot 3 + 3^{2}

Apply Perfect Square Formula:

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

(8 v)^{2} - 2 \cdot 8 v \cdot 3 + 3^{2} = (8 v - 3)^{2}

= (8 v - 3)^{2}

- 3 ∣ x - 4 ∣ + 4 = - 5

2 = - \frac{1}{2} (- 5) + b

12 x^{2} - 12 x - 24 = 0

x^{3} x^{9}

(- 2 i) (5 i) (- i)