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

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

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factor 8a^3-b^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

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

\frac{\frac{6}{28 x + 4}}{\frac{6}{35 x + 5}}

(8 + 3 i) 2

\frac{6 - i 2}{6 + i 2}

24!

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