Do you love working with rational expressions? Do you love simplifying, multiplying and dividing them?

Question

Then you should do my problems! Because I don't get it at all, I'm tired, and I just want to take my anti-depressants and go to sleep.
If you could give the work, that would be super. I'll just give you guys one so I can get the general gist of the problem.

1) Simplify each rational expression. State any restrictions on the variable.
-5x^3y/-15xy^3

2) Multiply, state any restrictions on the variable
4x^2/5y * 7y/12x^4

Divide, state any restrictions on the variable
7x/4y3 divided by 21x^3/8y

manish.narayan · Accepted Answer

ill give you a general rule...take care of the numbers first then variables

1) x^2/(3y^2) restriction: y not equal to 0

2) 28x^2 / (60x^4y) = 7/(15x^2y) restriction: x and y not equal to 0

3) before dividing multiply by the reciprocal of the second fraction...

so it is converted to:

7x/(4y^3) * 8y/(21x^3) = 56xy/(84x^3y^3) = 2/(3x^2y^2) restriction: x and y not equal to 0

Musicality · Answer

Alright bro, you gots to work on these!!!!! But I will show you how to do it....


1) -5x^3y/-15xy^3..... Simplify just the constants for now....

1(x^3)(y)/3(x)(y^3)

Now when you are dividing expressions with the same base but different exponents, you just subtract!!

For example... x^5/x^3= x^2.... Get it?
Now we use this to simplify the x and y....
x^3-x^1=x^2... Goes on top since higher order....
y^1-y^3=y^-2... Goes on bottom but just as y^2... You will understand soon enough...

Final Answer: 
(1x^2)/(3y^2)

Anonymous · Answer

commonly, you may simplify fractions. this could mean reducing them, and it may mean changing them to complicated fractions. 15/6 could be expressed as 5/2 or as 2 one million/2 i might ask your instructor how she or he expects it.

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Do you love working with rational expressions? Do you love simplifying, multiplying and dividing them?

3 Answers