What is factor a^3-8b^3 ?

The solution to factor a^3-8b^3 is (a-2b)(a^2+2ab+4b^2)

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factor a^3-8b^3

factor

a^{3} - 8 b^{3}

(a - 2 b) (a^{2} + 2 ab + 4 b^{2})

Solution steps

a^{3} - 8 b^{3}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

a^{2} + a \cdot 2 b + (2 b)^{2} : a^{2} + 2 ab + 4 b^{2}

= (a - 2 b) (a^{2} + 2 ab + 4 b^{2})

\frac{x ^{2}}{x ^{5}}

\frac{9 !}{5 !}

9 x + 1 - 9 x = 5 - 4

\frac{x ^{2} + 1}{lo g _{3} ( x ^{2} + 2 )} \geq 0

2 x^{2} - 4 x - 1 = 0

What is factor a^3-8b^3 ?
The solution to factor a^3-8b^3 is (a-2b)(a^2+2ab+4b^2)