Solve 6u^{5}v^{3}+24u^3v^4-9u^3v^2

$$6 u ^ { 5 } v ^ { 3 } + 24 u ^ { 3 } v ^ { 4 } - 9 u ^ { 3 } v ^ { 2 }$$

Factor

$$3v^{2}u^{3}\left(8v^{2}+2vu^{2}-3\right)$$

Solution Steps

Factor out 3.

$$3\left(2u^{5}v^{3}+8u^{3}v^{4}-3u^{3}v^{2}\right)$$

Consider 2u^{5}v^{3}+8u^{3}v^{4}-3u^{3}v^{2}. Factor out u^{3}v^{2}.

$$u^{3}v^{2}\left(2u^{2}v+8v^{2}-3\right)$$

Rewrite the complete factored expression.

$$3u^{3}v^{2}\left(2u^{2}v+8v^{2}-3\right)$$

Evaluate

$$3v^{2}u^{3}\left(8v^{2}+2vu^{2}-3\right)$$