What is factor 27a^3-64 ?

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

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factor 27a^3-64

factor

27 a^{3} - 64

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

Solution steps

27 a^{3} - 64

Apply exponent rules

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

Apply Difference 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)

x^{2} - 2.3 x^{2} - 2 x^{2} + 4 x - 2

- 9 x^{23} x + 2

\frac{( x ^{2} - y ^{- 2} )}{( x ^{- 1} - y ^{- 1} )}

2^{n (a) \cdot n (b)}

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

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