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

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

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factor 64x^2+48x+9

factor

64 x^{2} + 48 x + 9

(8 x + 3)^{2}

Solution steps

64 x^{2} + 48 x + 9

Rewrite in the form of

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

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

9 = 3^{2}

48 x = 2 \cdot 8 x \cdot 3

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

Apply Perfect Square Formula:

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

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

= (8 x + 3)^{2}

\frac{x ^{- 5} y ^{4} y ^{7}}{x ^{- 5}}

x^{2} + 3 x + 2.25

3 x^{- 3}

4.2 x + 3 = 11.82

\frac{a ^{2} + 11 a + 24}{a ^{3} + 27}