Solve 7m^{3}n^{2}t-14m^{2}n^3t+49m^2n^2ttext{by}7m^2nt

$$7 m ^ { 3 } n ^ { 2 } t - 14 m ^ { 2 } n ^ { 3 } t + 49 m ^ { 2 } n ^ { 2 } t \text { by } 7 m ^ { 2 } n t$$

Factor

$$7tm^{2}n^{2}\left(49bntym^{2}+m-2n\right)$$

Solution Steps

Factor out 7.

$$7\left(m^{3}n^{2}t-2m^{2}n^{3}t+49m^{2}n^{2}tbym^{2}nt\right)$$

Consider m^{3}n^{2}t-2m^{2}n^{3}t+49bym^{4}n^{3}t^{2}. Factor out m^{2}n^{2}t.

$$m^{2}n^{2}t\left(m-2n+49bym^{2}nt\right)$$

Rewrite the complete factored expression.

$$7m^{2}n^{2}t\left(m-2n+49bym^{2}nt\right)$$

Evaluate

$$7t\left(mn\right)^{2}\left(49bntym^{2}+m-2n\right)$$