Solve 3a^{2}b^{3}-8b^{2}a^{3}+a^{3}b^{2}+5a^{3}b^{2}-a^2b^3-3b^2a^3

$$3 a ^ { 2 } b ^ { 3 } - 8 b ^ { 2 } a ^ { 3 } + a ^ { 3 } b ^ { 2 } + 5 a ^ { 3 } b ^ { 2 } - a ^ { 2 } b ^ { 3 } - 3 b ^ { 2 } a ^ { 3 }$$

Factor

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

Solution Steps

Factor out a^{2}b^{2}.

$$a^{2}b^{2}\left(3b-8a+a+5a-b-3a\right)$$

Consider 3b-8a+a+5a-b-3a. Multiply and combine like terms.

$$-5a+2b$$

Rewrite the complete factored expression.

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

Evaluate

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