Perform the indicated operations. See Examples 2–6. 2(3r^2+4r+2) ...

Question

Perform the indicated operations. See Examples 2–6. 2(3r^2+4r+2) - 3(-r^2+4r-5)

Accepted Answer

Welcome back. I am so glad you're here. We are given this expression four times parentheses six D. To the third plus d minus seven and parentheses minus 11 times parentheses negative four D. To the third plus two D minus nine and parentheses. Whereas to find the difference to subtract these two things but before we can subtract them we need to first distribute we need to distribute this four by the three terms inside of its parentheses and distribute this negative 11 to the three terms inside of its parentheses. So let's start off with that distribution. We're taking four times six D. To the third. Well we take four times six which is 24 then keep the D to the third four times D. Is plus four D. And four times negative seven is going to be minus 28. Now we're taking the negative 11 and distributing it to its three terms. So negative 11 times negative four D. To the third while negative 11 times a negative four is going to be a positive A plus 44 then R. D. To the third negative 11 times positive two D. Is going to be a minus 22 for the negative 11 times two and then R. D. And negative 11 times negative nine is going to be a plus 99. And now it's a matter of combining like terms so let's look for our D cubed R. D. To the thirds that's 24 D. To the third plus 44 D. To the 3rd. 24 plus 44 is 68 D. To the 3rd. Next let's look for R. D. S. We have plus four D minus 22 D. Four D minus 22 D. Is going to be a minus 18 D. And then we have our constants negative 28 plus 99. Well negative 28 plus 99 is going to be a plus 71 that's as combined as we can get it. So now we look at our answer choices. We have a 68 D. To the third minus 18 D. Plus 71. Which answers which which matches answer choice B. Well done we'll catch you on the next one.

Perform the indicated operations. See Examples 2–6. 2(3r^2+4r+2) - 3(-r^2+4r-5)

Key Concepts

Distributive Property

Combining Like Terms

Polynomial Operations

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