What is factor 27x^3+8y^3 ?

The solution to factor 27x^3+8y^3 is (3x+2y)(9x^2-6xy+4y^2)

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factor 27x^3+8y^3

factor

27 x^{3} + 8 y^{3}

(3 x + 2 y) (9 x^{2} - 6 x y + 4 y^{2})

Solution steps

27 x^{3} + 8 y^{3}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

(3 x)^{2} - 3 x \cdot 2 y + (2 y)^{2} : 9 x^{2} - 6 x y + 4 y^{2}

= (3 x + 2 y) (9 x^{2} - 6 x y + 4 y^{2})

n^{2} + 2 n + n p + 2 p

\frac{f ( 3 + h ) - f ( 3 )}{h}

3 x^{2} + 12 x - 6 x^{3}

- 16 = - 4 - 6 x

4^{2} + 5^{2}

What is factor 27x^3+8y^3 ?
The solution to factor 27x^3+8y^3 is (3x+2y)(9x^2-6xy+4y^2)