# How do you multiply (x^5-1)(x^2+2)?

Mar 5, 2018

#### Answer:

${x}^{10} + 2 {x}^{5} - {x}^{2} - 2$

#### Explanation:

Use FOIL. First multiply the first terms in either binomial to get ${x}^{10}$, then multiply the first term in the first binomial with the second term in the second binomial to get $2 {x}^{5}$, then multiply the second term in the first binomial with the first term in the second binomial to get $- {x}^{2}$, then finally multiply the second terms in either binomial to get $- 2$.

Put them all together for

${x}^{10} + 2 {x}^{5} - {x}^{2} - 2$