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

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

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factor 9v^2+48v+64

factor

9 v^{2} + 48 v + 64

(3 v + 8)^{2}

Solution steps

9 v^{2} + 48 v + 64

Rewrite in the form of

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

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

64 = 8^{2}

48 v = 2 \cdot 3 v \cdot 8

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

Apply Perfect Square Formula:

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

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

= (3 v + 8)^{2}

64 x^{3} + 125

\frac{5 n ^{3}}{3 ( n ) ^{3}}

\frac{30 !}{5 ! 25 !}

\frac{1}{3} x - 3 = 4

(x - y)^{2} - 4 z^{2}