Homework Help: Calculus

Posted by -Untamed- on Saturday, December 31, 2011 at 7:51pm.

Simplify. State the nonpermissible values.

(3t^2+3t-6/2t^2-2t-4)(4t^2+4t-24/3t^2+6t-9)

This is the way I tried solving this:

3t(t-1)6(t-1)/2t(t-1)4(t-1)*4t(t-2)12(t-2)/3t(t+1)9(t-1)

(3)(t)(t-1)(2)(3)(t-1)/(2)(t)(t-1)(2)(2)(t-1)*(2)(2)(t)(t-2)(2)(2)(3)(t-2)/(3)(t)(t-1)(3)(3)(t-1)

After cancelling out all the terms I am left with:

(2)(t-2)(t-2)/(t-1)(t-1)

^ I cant cancel anything off now. But the answer is supposed to be :

2(t+2)/t+1

^ How do I get that answer?

Calculus - Damon, Saturday, December 31, 2011 at 8:12pm
(3t^2+3t-6)(4t^2+4t-24)
===============================
(2t^2-2t-4)(3t^2+6t-9)

3(t^2+t-2)(4)(t^2+t-6)
==============================
2(t-2)(t+1)(3)(t+3)(t-1)

3(t+2)(t-1)(4)(t+3)(t-2)
==============================
2(t-2)(t+1)(3)(t+3)(t-1)

(2) (t+2) / (t+1)

2
Calculus - -Untamed-, Saturday, December 31, 2011 at 8:17pm
Thank you so much Damon :)
Calculus - Damon, Saturday, December 31, 2011 at 8:21pm
You are welcome.
By the way that is undefined if t = -1 so I suppose that might be what is meant by "non-permissible"
Calculus - -Untamed-, Saturday, December 31, 2011 at 8:25pm
Thank you and yeah nonpermissible is another word for restrictions.

Answer this Question

Related Questions

calculus - Let f(t)=2t²+3t-4 f(t+1)=f(t)+4t+5 TRUE or FALSE answer is true...
Math - Using factoring by grouping, how would you factor these out. 4t^2+3t-4t-3...
math - Using factoring by grouping, how would you factor these out. 4t^2+3t-4t-3...
Factoring - Factor Completely: 3t^3 + 5t^2 - 12t first take out the t so you ...
Math Uugghhh - Okay the problem says I have to multiply (-2t)^2(3t^7)^2 SO what ...
ALGEBRA/PLEASE HELP - have the answer and would love confirmation. VERY ...
ALGEBRA - I have the answer and would love confirmation. VERY APPRECIATED! Find ...
math - solve. 6t + 7/ 4t - 1 = 3t +8/2t - 4
Algebra 2 - 1)Find the LCM of m^2-4m-5 and m^2+8m+7. factorize both expressions ...
science - position of a particle in frame s is given by r=(6t^2-4t)i-3t^3j+3k.in...

For Further Reading

First Name:
School Subject:
Answer: