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Popular >

factor a^3b^3+8

Solution

factor

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

Solution

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

Solution steps

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

Apply exponent rules

= (ab)^{3} + 2^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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