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Kou: Hao64Hzat64...

Question

Kou: Hao64Hzat64

Kou: Hao 64 Hzat 64



Answers

Add. $$64+(-64)$$

In order to multiply for this problem, we're going to use distribution. So the first thing we'll do is distribute to our first term. So that's going to be six times Y squared for the first distribution. And then we'll distribute to the second term. So that will be six times eight Y. And then we'll distribute to the third term. So that will be six times 16. Yeah. So now we just need to simplify this. So we'll start with the first term six times Y squared. We can write that as just six Y squared plus for the middle term six times eight Y. When we multiply that we get 48. Why? Yeah, plus six times 16. Which is 96. So our answer for this one is six Y squared plus 48 Y plus 96.

Okay, so we want to simplify to fall line. So let's multiplied through by r L C D What we CRT denominators y squared minus 64 y plus eight. But why squared? Minus 64? We can factor that into what, plus eight times of y minus states. So we see our city is why eight times one minus eight. So let's multiply right at as well as the fight. Okay, so we can cancel. Used to terms here and then why prostate? So we're left with eight over six times Y minus eight on working with this this eight with the six This is actually four times two and three times to. So we can cancel this too, when we get for over three times. Why? Minus it?

The factor. This I first looked for a common factor. There is no common factor for all three, so it's a try. No meal. I recognize that this is a perfect square, and so is this. So I'm going to first see if I can factor it as a perfect square. Try no meal into a binomial squared. I always take the same sign is the middle and then I just add or subtract those two. So that would be y minus that I'm not sure if that works until I check to check the middle. I always do, too times the product of each of those terms. So two times would give me 16. Why times negative three z And that would give me the correct middle negative. 48 y z. So this does match. So my final answer is Ah, that binomial square. So the original was a perfect square trying Tomio


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