# Calculus

posted by .

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 -

(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 -

Thank you so much Damon :)

• Calculus -

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 -

Thank you and yeah nonpermissible is another word for restrictions.

## Similar Questions

1. ### bobpursley,math

about this problem , I figured it out and i did get the answer right except that i had forgotten to make it a negative like this: directions: subtract 4x-2x^2+4x^3 from 4x^3+x-3x^2 -------------------------------- 4x^3-3x^2+x -(4x^3-2x^2+4x) …
2. ### maths

Can someone please help me with solving this equation (I don't know how to do it with the fractions) 1/3 x1^-2/3 . x2^2/3 -------------------- 2/3 x1^1/3 . x2^-1/3 how do I cancel out some of the terms and reduce it down so that Im …
3. ### simplify

how do i simplify 10x^2y/-5x^4y Do you notice the y in both numerator and denominator?
4. ### math

how do I find out how many feet are in 36 yards?
5. ### Calculus - Series

Why is the limit of the sum n=1 to infinity of ln(2(n+1))â€“ln(2n) divergent?
6. ### Math

Simlifying Rational Expressions Reduce to lowest terms, stating the restrictions on the variable. I really don't understand the whole cancelling out the factor thing, and not cancelling out the terms. As I was having lots of trouble …
7. ### Calculus

Simplify. State the nonpermissible values. 4a^2-1/4a^2-16*2-a/2a-1 This is what I did to try and solve it out: (2a+1)(2a-1)/(2a+4)(2a-4)*2-a/(2a-1) I cancelled out the (2a-1)'s and don't get how to solve. I'm supposed to get the answer …
8. ### math-calculus

(5y)/(6y^2-7y-3)+(4y-3)/(2y^2-15y+18)consider nonpermissible values for the addition of this equation, the product of the nonpermissible values is. 5y/(2y-3)(3y+1)+(4y-3)(2y-3)(y-6) i not get what it asking for.
9. ### Differential Equations!

I'm struggling solving this separable differential equations: (du/dv) = ((uv+u)/(uv+v)) I multiplied both sides by dv to get on the left side just du and cancel out dv, but after that don't know where to go. I've tried integration …
10. ### Pre Calculus

So I only have 3 homework questions left and I can't seem to figure out how to solve. I've tried solving them, but I keep getting them wrong. Any help?

More Similar Questions