Solve p^2(p^2-3p+4)(p-2)

$$p ^ { 2 } ( p ^ { 2 } - 3 p + 4 ) ( p - 2 )$$

Evaluate

$$\left(p-2\right)p^{2}\left(p^{2}-3p+4\right)$$

Solution Steps

Use the distributive property to multiply p^{2} by p^{2}-3p+4.

$$\left(p^{4}-3p^{3}+4p^{2}\right)\left(p-2\right)$$

Use the distributive property to multiply p^{4}-3p^{3}+4p^{2} by p-2 and combine like terms.

$$p^{5}-5p^{4}+10p^{3}-8p^{2}$$

Expand

$$p^{5}-5p^{4}+10p^{3}-8p^{2}$$

Solution Steps

Use the distributive property to multiply p^{2} by p^{2}-3p+4.

$$\left(p^{4}-3p^{3}+4p^{2}\right)\left(p-2\right)$$

Use the distributive property to multiply p^{4}-3p^{3}+4p^{2} by p-2 and combine like terms.

$$p^{5}-5p^{4}+10p^{3}-8p^{2}$$