Day 117 – March 3

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.

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