What is factor 27a^3-64b^3 ?

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

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factor 27a^3-64b^3

factor

27 a^{3} - 64 b^{3}

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

Solution steps

27 a^{3} - 64 b^{3}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

(3 a)^{2} + 3 a \cdot 4 b + (4 b)^{2} : 9 a^{2} + 12 ab + 16 b^{2}

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

2 x^{2} + 5 x + 12 = 0

8 x^{2} - 9 x + 1

lo g_{2} (0.5) = x

\frac{3}{2} - \frac{3}{4}

- 318 + 38 - 24

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