SOLUTION: Divide and Simplify: (t-3)/(t+2)�(4t-12)/(t+1) Thanks (can you show your work... so I can try and grasp the concept.)

Question 451000: Divide and Simplify: (t-3)/(t+2)�(4t-12)/(t+1)
Thanks
(can you show your work... so I can try and grasp the concept.)
Found 2 solutions by solver15, algebrahouse.com:
Answer by solver15(27) (Show Source): You can put this solution on YOUR website!
all you have to do is to flip (t-3)/(t+2)�(4t-12)/(t+1)
so your equation will be (t-3)/(t+2).(t+1)/(4t-12)
factor out 4 from this equation(4t-12)

so your new equation will be (t-3)/(t+2)(t+1)4(t-3)
and so (t-3) and (t-3) cancles and so you are left with
(t+1)/4(t+2) and that is your answer:)

Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!

(t - 3)/(t + 2) � (4t - 12)/(t + 1)
= (t - 3)/(t + 2) x (t + 1)/4(t - 3) {multiplied by reciprocal and factored 4 out of 4t - 12}

(t - 3)(t + 1)
--------------- {wrote as one fraction to help you visualize it}
4(t + 2)(t - 3)

t + 1
------- {cancelled t - 3 on top and bottom}
4(t + 2)
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