In Exercises 33–68, add or subtract as indicated. (3x+2)/(3x+4) +...

Question

In Exercises 33–68, add or subtract as indicated. (3x+2)/(3x+4) + (3x+6)/(3x+4)

Accepted Answer

Welcome back. I'm so glad you're here. We get to do the addition or subtraction that's indicated here. So we've got a fraction. We have X plus one in the numerator divided by x minus two in the denominator and its edition plus two minus X in the numerator and x minus two in the denominator. And oh my goodness, happy day. We have got a common denominator which means we can just add straight across that. Denominator will be our common denominator X minus two. And then in the numerator we've got X plus one Plus 2 -1. And these are in parentheses here. And it's important if we were doing subtraction to be sure we would distribute that subtraction that negative to our second parentheses. But when we've got addition we can just get rid of the parentheses in the numerator. So now it's X plus one plus two minus X. All over X minus two. Now we can just look for like terms the x minus X. Well x minus X. That's just going to be no X is so we don't have to worry about X in the numerator and one plus two. Well that's going to give us three. So we've got three in the numerator over X minus two and that matches with our answer choice. A Well done. We'll catch you on the next one

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In Exercises 33–68, add or subtract as indicated. (3x+2)/(3x+4) + (3x+6)/(3x+4)