[Video] Q8: X+2/(x+2)^2which of the following expressions is equivalent to the given expression, where x≠-2?

Explanation for Question 8 From the Math (No Calc) Section on the 2020 March Sat

Now for number eight, our correct answer is going to be B. 2 So let's figure out how we can arrive at the answer choice a V 3 and what mistakes might lead us to choose a C or D. 4 So looking at eight, we see that it's asking us, which of the following 5 expressions is equivalent to the given expression. 6 When it says equivalent to the given expression, 7 you should remember that that's sat talk for simplify, 8 usually simplify. 9 So whatever they've given us earlier can usually be parsed down to something that's 10 a little more simple, a little more straightforward as let's take a look at 11 what we have here, right? We have X plus two over X plus two 12 square. And what we can immediately notice is that we have a fraction, 13 right? And whenever you have a fraction, you want to think, 14 how can I cancel things out? 15 How can I take something that's in the numerator and the denominator and cancel 16 it. And you should immediately have your eyes light up when you see this 17 question, because we have the same thing written in the numerator and the denominator. 18 So it should be pretty easy to simplify this out, 19 right? It will be easy to cancel something. And perhaps the easiest way to 20 see this is to write out what is in the denominator fully, 21 right? You have X plus two all over X plus two squared, 22 which is X plus two times X plus two. 23 And so if you do this, what you can notice immediately is that the 24 X plus two in the numerator and one of the X plus Susa...

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