How do you multiply and simplify #\frac { 2( x + 5) } { 20( x + 5) } \cdot \frac { 25x ( x + 2) } { 5( x + 2) }#?

1 Answer
Apr 27, 2018

#x/2#

Explanation:

#[2(x+5)]/[20(x+5)]xx[25x(x+2)]/(5(x+2))#

Cancel (x+5)

#=># #2/20xx[25x(x+2)]/(5(x+2))#

Cancel (x+2)

#=># #2/20xx(25x)/5#

Divide by 2

#=># #1/10xx(25x)/5#

Divide by 5

#=># #1/10xx(5x)/1#

#=># #[5x]/10#

#=># #x/2#