How do you write the mixed expression #(x+7)/(2x)-5x# as a rational expression?

1 Answer
Nov 23, 2017

Answer:

#(-10x^2+x+7)/(2x)#

Explanation:

Multiply by 1 and you do not change the value. However, 1 comes in many forms

Note that #5x" is also " (5x)/1#

#color(green)([(x+7)/(2x)]-[(5x)/1color(red)(xx1)])#

#color(green)([(x+7)/(2x)]-[(5x)/1color(red)(xx(2x)/(2x))])#

#color(green)([(x+7)/(2x)]-[(5xcolor(red)(xx 2x))/color(red)(2x)])#

#color(green)([(x+7)/(2x)]-[(10x^2)/(2x)]#

#color(green)( (-10x^2+x+7)/(2x) )#