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Multiplying Algebraic Expressions indicated opera…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94

Problem 80 Hard Difficulty

Multiplying Algebraic Expressions indicated operations, and simplify.
$$
\left(\sqrt{h^{2}+1}+1\right)\left(\sqrt{h^{2}+1}-1\right)
$$

Answer

$h^{2}$

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Algebra

Algebra and Trigonometry

Chapter 0

Prerequisites

Section 5

Algebraic Expressions

Related Topics

Equations and Inequalities

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Video Transcript

Okay, so we've been given, um true Outbreak Expressionists Times in together here on. So I was right. Expressions in this case. Uh huh. Route hate squared. Plus warm on. That's inside of the route. Plus another one all times by route. Hey, Tshwete. 1st 1 again became the side of the room and then minus one outside the room. Okay, so those are two things has together, and we've been asked to expand on super not to expand this. You can identify that. This is actually, um, a difference off two squares. So and there's a formula for working out the difference of two squares when you can identify, Madam, the two Outbreak freshman's being times together. That will give the difference of two squads. And that is that if you have a first term plus a second term, all of that being tired by a first term minus second term, then the answer is going to be the first time squared, which in this case, is hate Square plus one Oscar minus the second time squared. So our second term here is just walk. Okay. Sa answer here is going to be so this hate square performance, Tristen side of the square roots. So when we square that the square root is just gonna disappear So what would be left with hate squared? Plus one for our first time here. And that's to be minus one squared, which is just one Hey, squared plus one minus one. Just gonna be left with a squad. So that's the answer. If you have any questions about that, you could email me, Daniel. Dr. J. P. H don't know that at Gmail. Don't come. Thank you very much. First thing, and I wish you'd dress their studies.

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