Algebra: Chapter 10, Lesson 2, page 436.
Multiplying Rational Expressions
To multiply rational numbers, we multiply the numerators and multiply the denominators. We multiply rational expressions in the same way.
For example, we have the following examples:
`–2/(2y+6)⋅3/(y–5)`
First multiply the numerators and the denominators so that is looks like
`(-2⋅3)/((2y+6)(y-5))` which becomes `(-2⋅3)/((2)(y+3)(y-5))` and finally is `=-3/((y+3)(y-5))`!
Another example is:
`4/(5x^2)⋅(x-2)/(2x^3)`
Multiplying numerators and denominators again, we have it becoming
`(4(x-2))/(10x^5)` which turns into `(2(x-2))/(5x^5)`
Here is a link from purplemath.com as well with more information and examples.
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.
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!