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Popular >

factor a^3+8b^3

Solution

factor

a^{3} + 8 b^{3}

Solution

(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 Sum 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})

Popular Examples

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1.056 - 2.33 (\frac{0.246}{50})

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\frac{4}{5} \cdot 15

Frequently Asked Questions (FAQ)

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