What is factor 27u^3-64 ?

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

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factor 27u^3-64

factor

27 u^{3} - 64

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

Solution steps

27 u^{3} - 64

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

\frac{\frac{9}{10}}{- \frac{3}{5}}

(\frac{a}{b})^{- 3}

3 \cdot + 4 < 13

((2.84 \cdot 1 0^{- 2}) + x) (x) = (1.18 \cdot 1 0^{4})

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