What is factor 216-a^3*b^3 ?

The solution to factor 216-a^3*b^3 is (6-ab)(36+6ab+a^2b^2)

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factor 216-a^3*b^3

factor

216 - a^{3} \cdot b^{3}

(6 - ab) (36 + 6 ab + a^{2} b^{2})

Solution steps

216 - a^{3} b^{3}

Apply exponent rules

= 6^{3} - (ab)^{3}

Apply Difference of Cubes Formula:

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

6^{3} - (ab)^{3} = (6 - ab) (6^{2} + 6 ab + (ab)^{2})

= (6 - ab) (6^{2} + 6 ab + (ab)^{2})

Simplify

6^{2} + 6 ab + (ab)^{2} : 36 + 6 ab + a^{2} b^{2}

= (6 - ab) (36 + 6 ab + a^{2} b^{2})

3 q^{2} \cdot r + 18 p^{3} \cdot q^{5} \cdot r^{5}

4 x (m - n) + (n - m)

8.68 \frac{\frac{m}{s ^{2}}}{0.38} m

\frac{x ^{3}}{x} - 1 + \frac{1}{1} - x - \frac{x ^{2}}{x} + 1

64 t^{2} - 49 a^{2} b^{2}

What is factor 216-a^3*b^3 ?
The solution to factor 216-a^3*b^3 is (6-ab)(36+6ab+a^2b^2)