What is factor 64+27a^3 ?

The solution to factor 64+27a^3 is (3a+4)(9a^2-12a+16)

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factor 64+27a^3

factor

64 + 27 a^{3}

(3 a + 4) (9 a^{2} - 12 a + 16)

Solution steps

64 + 27 a^{3}

Write in the standard form

= 27 a^{3} + 64

Apply exponent rules

= (3 a)^{3} + 4^{3}

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

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

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

Simplify

(3 a + 4) (3^{2} a^{2} - 4 \cdot 3 a + 4^{2}) : (3 a + 4) (9 a^{2} - 12 a + 16)

= (3 a + 4) (9 a^{2} - 12 a + 16)

\frac{r ^{2}}{r ^{- 6}}

\frac{7}{10} + \frac{3}{5}

\frac{3}{16} + \frac{3}{8}

- 4 \cdot 1

(\frac{x ^{2} + 3}{x ^{2} - 3})^{5}

What is factor 64+27a^3 ?
The solution to factor 64+27a^3 is (3a+4)(9a^2-12a+16)