SOLUTION: Multiply and if possible simplify ((5t^3)/(4t-8))((6t-12)/(10t))

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Question 347985: Multiply and if possible simplify
((5t^3)/(4t-8))((6t-12)/(10t))

Answer by haileytucki(390)   (Show Source): You can put this solution on YOUR website!
((5t^(3))/(4t-8))((6t-12)/(10t))
Factor out the GCF of 4 from each term in the polynomial.
((5t^(3))/(4(t)+4(-2)))((6t-12)/(10t))
Factor out the GCF of 4 from 4t-8.
((5t^(3))/(4(t-2)))((6t-12)/(10t))
Factor out the GCF of 6 from each term in the polynomial.
((5t^(3))/(4(t-2)))((6(t)+6(-2))/(10t))
Factor out the GCF of 6 from 6t-12.
((5t^(3))/(4(t-2)))((6(t-2))/(10t))
Reduce the expression (6(t-2))/(10t) by removing a factor of 2 from the numerator and denominator.
((5t^(3))/(4(t-2)))((3(t-2))/(5t))
Multiply (5t^(3))/(4(t-2)) by (3(t-2))/(5t) to get (3t^(2))/(4).
((3t^(2))/(4))
Remove the parentheses around the expression (3t^(2))/(4).
(3t^(2))/(4)

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