Solve 32r^{4}p^{2}s-80r^{3}p^3+16r^4p-48r^3p^2a

$$32 r ^ { 4 } p ^ { 2 } s - 80 r ^ { 3 } p ^ { 3 } + 16 r ^ { 4 } p - 48 r ^ { 3 } p ^ { 2 } a$$

Factor

$$16pr^{3}\left(r-3ap+2prs-5p^{2}\right)$$

Solution Steps

Factor out 16.

$$16\left(2r^{4}p^{2}s-5r^{3}p^{3}+r^{4}p-3r^{3}p^{2}a\right)$$

Consider 2r^{4}p^{2}s-5r^{3}p^{3}+r^{4}p-3r^{3}p^{2}a. Factor out r^{3}p.

$$r^{3}p\left(2rps-5p^{2}+r-3pa\right)$$

Rewrite the complete factored expression.

$$16r^{3}p\left(2rps-5p^{2}+r-3pa\right)$$

Evaluate

$$16pr^{3}\left(r-3ap+2prs-5p^{2}\right)$$