How do you multiply and simplify #\frac { q ^ { 2} - 8q + 12} { q + 3} \cdot \frac { q + 3} { q ^ { 4} - 8q ^ { 3} + 12q ^ { 2} }#?

1 Answer
EZ as pi
Apr 16, 2018

#=1/q^2#

Explanation:

#\frac { q ^ { 2} - 8q + 12} { q + 3} \cdot \frac { q + 3} { q ^ { 4} - 8q ^ { 3} + 12q ^ { 2} }#

Factorise wherever possible:

#=((x-6)(x-2))/((q+3)) xx ((q+3))/(q^2(x-6)(x-2))#

#=cancel((x-6)(x-2))/cancel((q+3)) xx cancel((q+3))/(q^2cancel((x-6)(x-2))#

#=1/q^2#

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