Question

Consider the polynomial

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

Combine all like terms and enter the coefficients for each term into the blanks below

Answer 1

To combine like terms in the given polynomial, let's simplify it step by step:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

First, let's remove the parentheses:

4mn^2 - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Next, let's combine like terms by adding or subtracting coefficients of the same variables:

(4mn^2 + 6mn^2 - mn^2) + (-2mn - 9mn) + (6 + 2 - 1)

Simplifying further:

9mn^2 - 11mn + 7

So, the coefficients for each term are:

9, -11, 7