Find the sum of 2x-8 and -7x-3. Answer:

Identify Polynomials: Identify the polynomials to be added. We have two polynomials: 2x-8 and -7x-3. We need to find their sum by combining like terms.Combine Like Terms: Combine like terms. To add the polynomials, we combine the coefficients of the like terms, which are the terms with the same variable and exponent. In this case, we combine the coefficients of x and the constant terms separately. (2x - 8) + (-7x - 3) = (2x + (-7x)) + (-8 + (-3))Perform Addition: Perform the addition. Now we add the coefficients of x and the constant terms: (2x + (-7x)) + (-8 + (-3)) = -5x + (-11)Simplify Expression: Simplify the expression. The simplified form of the sum is -5x - 11.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the sum of $2 x-8$ and $-7 x-3$ . $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 2

Add and subtract polynomials

Full solution

Q. Find the sum of

2 x-8

and

-7 x-3

\newline

Answer:

Identify Polynomials: Identify the polynomials to be added. $\newline$ We have two polynomials: $2x-8$ and $-7x-3$ . We need to find their sum by combining like terms.
Combine Like Terms: Combine like terms. $\newline$ To add the polynomials, we combine the coefficients of the like terms, which are the terms with the same variable and exponent. In this case, we combine the coefficients of $x$ and the constant terms separately. $\newline$ $(2x - 8) + (-7x - 3) = (2x + (-7x)) + (-8 + (-3))$
Perform Addition: Perform the addition. $\newline$ Now we add the coefficients of $x$ and the constant terms: $\newline$ $(2x + (-7x)) + (-8 + (-3)) = -5x + (-11)$
Simplify Expression: Simplify the expression. $\newline$ The simplified form of the sum is $-5x - 11$ .