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

Perform Multiplication: Now, we will perform the multiplication for each term. 2k(k) = 2k^2 2k(1) = 2k -1(k) = -k -1(1) = -1 So, (2k - 1)(k + 1) = 2k^2 + 2k - k - 1Combine Like Terms: Next, we combine like terms, which are the terms with k. 2k^2 + 2k - k - 1 = 2k^2 + (2k - k) - 1 2k^2 + 2k - k = 2k^2 + k So, the expression simplifies to 2k^2 + k - 1Final Simplification: We have now simplified the expression completely, and there are no more like terms to combine. The final simplified product of (2k - 1)(k + 1) is 2k^2 + k - 1.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(2k - 1)(k + 1)

Perform Multiplication: Now, we will perform the multiplication for each term. $\newline$ $2k(k) = 2k^2$ $\newline$ $2k(1) = 2k$ $\newline$ $-1(k) = -k$ $\newline$ $-1(1) = -1$ $\newline$ So, $(2k - 1)(k + 1) = 2k^2 + 2k - k - 1$
Combine Like Terms: Next, we combine like terms, which are the terms with $k$ . $2k^2 + 2k - k - 1 = 2k^2 + (2k - k) - 1$ $2k^2 + 2k - k = 2k^2 + k$ So, the expression simplifies to $2k^2 + k - 1$
Final Simplification: We have now simplified the expression completely, and there are no more like terms to combine. $\newline$ The final simplified product of $(2k - 1)(k + 1)$ is $2k^2 + k - 1$ .