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Popular >

factor 8a^3+b^3

Solution

factor

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

Solution

(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 Sum 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})

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Frequently Asked Questions (FAQ)

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