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

The solution to factor a^3b^3-c^3 is (ab-c)(a^2b^2+abc+c^2)

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factor a^3b^3-c^3

factor

a^{3} b^{3} - c^{3}

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

Solution steps

a^{3} b^{3} - c^{3}

Rewrite

a^{3} b^{3}

(ab)^{3}

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

y \cdot (- 0.1)

x^{2} + 4 - 2

5 v^{3} + 4 v - 15 v - 12

2 a x + 2 a y + b x + b y

3 m - 2 n - 2 n x^{2} + 3 m x^{2}

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