ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Mathematics and Statistics Assessment Videos 200 videos

TSI Math: Calculating the Volume of a Cardboard Box
6 Views

A cardboard box measures 12 inches wide, 8 inches across, and 6 inches tall. What is its volume in cubic feet?

TSI Math: Solving for a Triangle's Area Using the Pythagorean Theorem
13 Views

An isosceles triangle has legs 10 units long and a base 12 units long. What is its area in square units?

TSI Math: Using Circumference to Calculate a Circle's Area
48 Views

A circle has an area of 225π square units. What is its circumference?

See All

TSI Math: Simplifying Fractions Using the Least Common Denominator 7 Views


Share It!


Description:

What is the simplified form of the expression ?


Transcript

00:02

Okay sy master members next up in this ugly siri's

00:05

of weird problems what is the simplified form of the

00:08

expression Sixty over a plus b plus eh b over

00:11

b squared minus a squared Simplify this thing well let's

00:20

See we only add fractions when they have the same

00:22

denominator Right Fractions with different denominators are like vinegar and

00:26

baking soda You can't add them without making a real

00:29

mess Yeah we've been there were tempted to go mad

00:31

scientist to here on you but we shouldn't Since it's

00:34

a difference of squares b squared minus a square there

00:37

Well it can be factored Right factor is b minus

00:40

a times b plus eh And a plus b equals

00:43

b plus eh Is a factor of b squared minus

00:46

a square Just multiply the first fraction sixty over a

00:49

plus b by being kind to say over b money

00:51

say which is one as long as b minus a

00:54

isn't zero to give a denominator of b squared minus

00:57

a squared See how that works That's what it looks

00:59

like All right Well now we add the fractions Six

01:02

b squared minus a b over b squared minus a

01:04

squared plus a bee And that gets us this thing

01:08

Six b squared minus a b plus eh b over

01:11

b squared minus squared Well the two a b terms

01:13

cancel out so we're left With the some six b

01:16

squared over b squared minus a squared that's it uh

01:19

give us the word problem is that it kind of 00:01:20.62 --> [endTime] funny Can't we go back to those

Related Videos

Revising a Letter by Adding Transitions
147 Views

Which is the best way to revise and combine sentences 1 and 2?

TSI Writing: Adding a New Sentence to Improve a Letter's Structure
27 Views

Where would the following sentence best be placed?

TSI Writing: Choosing the Best Introductory Transition
18 Views

Which of the following is best to insert at the beginning of sentence 8?

TSI Writing: Shifting a Letter's Structure to Improve the Organzational Flow
8 Views

Which is the best location for sentence 9?

TSI Writing: Choosing the Most Effective Sentence Structure
15 Views

Which of the following sentences is best to insert between sentences 11 and 12?