What is factor 27x^3+64y^3 ?

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

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factor 27x^3+64y^3

factor

27 x^{3} + 64 y^{3}

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

Solution steps

27 x^{3} + 64 y^{3}

Apply exponent rules

= (3 x)^{3} + (4 y)^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

- 6 x - 16 \leq 2 x

2 x - 6 \geq 6 (x - 2) + 8

x^{2} - 17 x - 18

25 + 9

\frac{27 c ^{4} d ^{7} + 15 c ^{3} d ^{5}}{3 c ^{2} d ^{3}}

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