Perform the indicated operations. See Examples 2–6. m(5m-2) + 9(5...

Question

Perform the indicated operations. See Examples 2–6. m(5m-2) + 9(5-m)

Accepted Answer

Welcome back. I am so glad you're here. We are given this expression 10-K times parentheses, five k minus three and parentheses plus four times parentheses, 11 plus K and parentheses. And we are to find the sum. Well before we can add these two things together, we first need to distribute these terms squished up in front of the parentheses. They need to be multiplied by the two terms inside of their respective parentheses. So we're going to take 10-K times five K, 10-K times five K. We multiply the coefficients 10 times five is 50 and then multiply the variables K times K is K squared. And now for 10-K times negative three, we're going to take the coefficients 10 times negative three is negative and then there's only the one K. So minus 30 K. Now for four times 11, 4 times 11 is 44. So we have plus 44 4 times K is four K. So plus four K. Now we can combine like terms, we have two K terms that can get combined. So first we'll bring down this 50 K squared and then we have negative 30 K plus four K, which will be a minus 26 K. And then bringing down plus 44 those are not like terms. So we can't combine them any further. We look at our answer choices and this matches with answer choice. D while done, we'll catch you on the next one

Perform the indicated operations. See Examples 2–6. m(5m-2) + 9(5-m)

Key Concepts

Distributive Property

Combining Like Terms

Simplifying Expressions

Watch next