How do you multiply and simplify #\frac { 8x ^ { 5} } { 20x ^ { 3} - 10x ^ { 2} } \cdot ( 2- 4x )#?

1 Answer
salamat
Jun 5, 2017

# = -(8 x^3)/5#

Explanation:

#(8 x^5)/(20 x^3 - 10 x^2) * (2-4 x) = (cancel(2x^2)(4 x^3)* (2-4 x))/(cancel(2 x^2)(10 x - 5)) #

#((4 x^3)* (2-4 x))/((10 x - 5)) =((4 x^3)* 2*(1-2 x))/(-5*(-2x + 1)) #

#= ((4 x^3)* 2cancel((1-2 x)))/(-5cancel(( 1 -2x)) #

# = -(8 x^3)/5#

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