Solve 6a^2b^3-18a^5b^6

$$6 a ^ { 2 } b ^ { 3 } - 18 a ^ { 5 } b ^ { 6 }$$

Factor

$$6a^{2}b^{3}\left(1-3a^{3}b^{3}\right)$$

Solution Steps

Factor out 6.

$$6\left(a^{2}b^{3}-3a^{5}b^{6}\right)$$

Consider a^{2}b^{3}-3a^{5}b^{6}. Factor out a^{2}b^{3}.

$$a^{2}b^{3}\left(1-3a^{3}b^{3}\right)$$

Rewrite the complete factored expression.

$$6a^{2}b^{3}\left(1-3a^{3}b^{3}\right)$$

Evaluate

$$6a^{2}b^{3}\left(1-3\left(ab\right)^{3}\right)$$