Help with simplifying radicals

[q543332]

Hi, I need help simplifying these types of radicals:

(2x^2+2x)/(x^2+3x)*(5x+15)/(x^2-1)

Also, does anyone know some good videos that teach this and the other forms like addition division and subtraction?

 

[Harry_the_cat]

Factorise each of the 4 expressions. Then see if any factors will cancel.

 

[Otis]

…I need help simplifying these types of radicals:

(2x^2+2x)/(x^2+3x)*(5x+15)/(x^2-1)

Hello q543332. Those are not radical expressions. They are rational expressions. (A radical expression always contains a radical sign, like √ for example.)

If you were to simplify 20/11 × 33/4, how would you do it? I would cancel common factors, before multiplying.

(4×5)/(11) × (3×11)/(4)

The common factors are shown in red. Cancelling them gives us:

5/1 × 3/1 = 15

Do the same with the rational expressions, as Harry_the_cat suggested. Factorize the numerators and denominators, and then cancel common factors before multiplying.

Did you try a search engine, to find videos? You could use keywords like simplify rational expressions.

If you would like more help, please post what you tried so far. Cheers

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