Fan for everyone who helps, medal for whoever helps the most! :)1. What is the sum of the polynomials?(m + n + 3) + (m + n + 4)2. Which expression can be used to find the difference of the polynomials?(10m – 6) – (7m – 4)3. Which expression can be used to find the difference of the polynomials?(4m – 5) – (6m – 7 + 2n),

Answer:1- The sum is: 2m + 2n + 7 = 2(m+n) + 72- The difference is: 3m - 23- The difference is: -2m - 2n + 2 = -2(m+n-1)Explanation:Before we begin, remember the following:+ve * +ve = +ve-ve * -ve = -ve+ve * -ve = -ve-ve * +ve = -veAlso, remember that, we only add/subtract like terms. There are terms which have the same variable(s) raised to the same degreeNow, let's check the problems:Problem 1:Adding two polynomials:(m + n + 3) + (m + n + 4)We first start by getting rid of the brackets:m + n + 3 + m + n + 4Now, we add like terms:2m + 2n + 7As an additional step, we can take 2 as a common factor from the first two terms:2(m+n) + 7Problem 2:Subtracting two polynomials:(10m - 6) - (7m - 4)We first start by getting rid of the brackets. Take care of the different signs while doing so:10m - 6 - 7m + 4Now, we add/subtract like terms:3m - 2Problem 3:Subtracting two polynomials:(4m - 5) - (6m - 7 + 2n)We first start by getting rid of the brackets. Take care of the different signs while doing so:4m - 5 - 6m + 7 - 2nNow, we add/subtract like terms:-2m - 2n + 2As an additional step, we can take -2 as a common factor from the above expression:-2(m+n-1)Hope this helps :)