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

The solution to factor a^3b^3-x^3 is (ab-x)(a^2b^2+abx+x^2)

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factor a^3b^3-x^3

factor

a^{3} b^{3} - x^{3}

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

Solution steps

a^{3} b^{3} - x^{3}

Rewrite

a^{3} b^{3}

(ab)^{3}

= (ab)^{3} - x^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

\frac{x ^{3} - 8}{x ^{2} - 4}

sin (x) (π)

27 - x^{45}

(cos (4 x))^{2}

a x - b y - a y + b x

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