Algebra: Chapter 10, Lesson 3, page 439.
Dividing Rational Expressions
We divide rational expressions using the same techniques we used in Chapter 10-2. The only difference is that we have to change the division sign in front of the 2nd term to a multiplication sign and FLIP (use the reciprocal) the second term upside down.
For example, `(8n^5)/3 ÷ (2n^2)/9` becomes
`=(8n^5)/3⋅9/(2n^2)` which simplifies to `=(72n^5)/(6n^2)=12n^3
Remember to factor the DIFFERENCE of 2 SQUARES (binomial squares) and TRINOMIAL SQUARES as well as use the BOX METHOD of FACTORING.
Here is a link to some more examples from purplemath.com
Two of tonight’s homework problems solved by MrE are here! Just click it!
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Algebra 1a: Chapter 9, Lesson 1, page 400 – DAY #2
Sets, Intersections and Unions
A set is a well-defined collection of objects called members or elements.
- Roster notation LISTS the members of the set.
- Set-Builder Notation gives a DESCRIPTION of how the set is built.
The intersection of 2 sets `A` and `B`, written `A ∩ B` is the set of all members that are COMMON to both sets. We say ” A intersection B”.
The union of 2 sets `A` and `B`, written `A ∪ B` is the set of all members that are in `A` or `B` or in both. If an intersection is EMPTY, we say the intersection is the empty set which is symbolized as `∅`.
All of these concepts are described here too with examples!
Two of tonight’s homework problems solved by MrE are here! Just click it!