Solve m^3n^2p^4+m^4{n}^{3}{p}^{5}-{m}^{6}{n}^{4}{p}^4+{m}^2{n}^4{p}^3

$${ m }^{ 3 } { n }^{ 2 } { p }^{ 4 } + { m }^{ 4 } { n }^{ 3 } { p }^{ 5 } - { m }^{ 6 } { n }^{ 4 } { p }^{ 4 } + { m }^{ 2 } { n }^{ 4 } { p }^{ 3 }$$

Factor

$$m^{2}n^{2}p^{3}\left(mp+n^{2}+nm^{2}p^{2}-pn^{2}m^{4}\right)$$

Solution Steps

Factor out m^{2}n^{2}p^{3}.

$$m^{2}n^{2}p^{3}\left(mp+m^{2}np^{2}-m^{4}n^{2}p+n^{2}\right)$$

Evaluate

$$p^{3}\left(mn\right)^{2}\left(mp+n^{2}+n\left(mp\right)^{2}-pn^{2}m^{4}\right)$$