What is factor 27x^3+512y^3 ?

The solution to factor 27x^3+512y^3 is (3x+8y)(9x^2-24xy+64y^2)

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factor 27x^3+512y^3

factor

27 x^{3} + 512 y^{3}

(3 x + 8 y) (9 x^{2} - 24 x y + 64 y^{2})

Solution steps

27 x^{3} + 512 y^{3}

Apply exponent rules

= (3 x)^{3} + (8 y)^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

(3 x)^{2} - 3 x \cdot 8 y + (8 y)^{2} : 9 x^{2} - 24 x y + 64 y^{2}

= (3 x + 8 y) (9 x^{2} - 24 x y + 64 y^{2})

6.5 = 0.5 \cdot 1200 \cdot x^{2}

50 - [3 (2 x - 3) - 2 (2 x - 1)] = 23

\frac{4}{7} + \frac{1}{7}

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

- 1.2 z - 8.2 > - 9.7

What is factor 27x^3+512y^3 ?
The solution to factor 27x^3+512y^3 is (3x+8y)(9x^2-24xy+64y^2)