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

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

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factor 27a^3-b^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

(3 a)^{3} - b^{3} = (3 a - b) ((3 a)^{2} + 3 ab + b^{2})

= (3 a - b) ((3 a)^{2} + 3 ab + b^{2})

Simplify

(3 a)^{2} + 3 ab + b^{2} : 9 a^{2} + 3 ab + b^{2}

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

\frac{3 x}{2} (\frac{6}{4} + \frac{13}{4}) = \frac{18}{6} (\frac{x}{2} - \frac{5 x}{4})

x^{2} - 29 x - 62

- 5 s - (- 6 s - 10) < 5 s + 9 + 5 s

5 x - 8 = 11 - 7 x + 12 x

7 x^{2} - 7 x - 140

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