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How do you multiply and simplify #\frac { x ^ { 3} - 27} { 6x - 18} \cdot \frac { 36} { 2x ^ { 2} + 6x + 18}#?

1 Answer

May 7, 2017

#=3#

Explanation:

#(x^3-27)/(6x-18)times 36/(2x^2+6x+18)#

#=((x-3)(x^2+3x+9))/(6(x-3))times36/(2(x^2+3x+9))#

#=(cancel((x-3))cancel((x^2+3x+9)))/(6cancel((x-3)))times36/(2cancel((x^2+3x+9)))#

#=36/12#

#=3#

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