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

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

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factor a^3-27b^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

(x - 1) (x - 2) - (x - 3) (x - 4) + (x + 5) (x + 6)

(2 a^{5} + 4 b^{3}) 3

(\frac{x}{3 + 1})^{2}

(\frac{x + 1}{x - 1})^{2}

3 x - (3 x - 2)

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