Find the product. Simplify your answer. (p + 2)(p - 1) ______

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the first terms, the outer terms, the inner terms, and the last terms together. (p + 2)(p - 1) = p(p) + p(-1) + 2(p) + 2(-1)Simplify Multiplication: Simplify each multiplication. p(p) = p^2 p(-1) = -p 2(p) = 2p 2(-1) = -2 So, (p + 2)(p - 1) = p^2 - p + 2p - 2Combine Like Terms: Combine like terms. p^2 - p + 2p - 2 = p^2 + (2p - p) - 2 = p^2 + p - 2

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the product. Simplify your answer. $\newline$ $(p + 2)(p - 1)$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(p + 2)(p - 1)

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the first terms, the outer terms, the inner terms, and the last terms together. $\newline$ $(p + 2)(p - 1) = p(p) + p(-1) + 2(p) + 2(-1)$
Simplify Multiplication: Simplify each multiplication. $\newline$ $p(p) = p^2$ $\newline$ $p(-1) = -p$ $\newline$ $2(p) = 2p$ $\newline$ $2(-1) = -2$ $\newline$ So, $(p + 2)(p - 1) = p^2 - p + 2p - 2$
Combine Like Terms: Combine like terms. $\newline$ $p^2 - p + 2p - 2 = p^2 + (2p - p) - 2 = p^2 + p - 2$