Add. (9k^2 + 4k) + (5k + 2) ______

Identify Like Terms: Identify the like terms in both polynomials. (9k^2 + 4k) + (5k + 2) can be rewritten without the parentheses as 9k^2 + 4k + 5k + 2, since there are no subtraction signs or coefficients that affect the terms inside the parentheses.Combine Like Terms: Combine the like terms. The like terms are 4k and 5k. The term 9k^2 does not have a like term in the second polynomial, and the constant 2 does not have a like term in the first polynomial. So, we combine 4k and 5k to get 9k, and we simply bring down the 9k^2 and the constant 2. 9k^2 + 4k + 5k + 2 = 9k^2 + (4k + 5k) + 2 = 9k^2 + 9k + 2Write Final Expression: Write the final simplified expression. The expression 9k^2 + 9k + 2 is the simplified form of the original expression after combining like terms.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Add. $\newline$ $(9k^2 + 4k) + (5k + 2)$

View step-by-step help

Home

Math Problems

Algebra 1

Add and subtract polynomials

Full solution

Q. Add.

\newline

(9k^2 + 4k) + (5k + 2)

Identify Like Terms: Identify the like terms in both polynomials. $\newline$ $(9k^2 + 4k) + (5k + 2)$ can be rewritten without the parentheses as $9k^2 + 4k + 5k + 2$ , since there are no subtraction signs or coefficients that affect the terms inside the parentheses.
Combine Like Terms: Combine the like terms. $\newline$ The like terms are $4k$ and $5k$ . The term $9k^2$ does not have a like term in the second polynomial, and the constant $2$ does not have a like term in the first polynomial. So, we combine $4k$ and $5k$ to get $9k$ , and we simply bring down the $9k^2$ and the constant $2$ . $\newline$ $9k^2 + 4k + 5k + 2 = 9k^2 + (4k + 5k) + 2 = 9k^2 + 9k + 2$
Write Final Expression: Write the final simplified expression. $\newline$ The expression $9k^2 + 9k + 2$ is the simplified form of the original expression after combining like terms.