How do you combine (4x+y)/(2x+3y) - (2x-2y)/(2x+3y)?

2 Answers
May 26, 2015

(4x+y)/(2x+3y)-(2x-2y)/(2x+3y)

=(4x+y-2x-(-2y))/(2x+3y)

=(2x+3y)/(2x+3y)

=1

May 27, 2015

=(4x+y)/(2x+3y)-(2x-2y)/(2x+3y)

={1/(2x+3y)*(4x+y)}-{1/(2x+3y)*(2x-2y)}

Taki ng 1/((2x+3y) common,

=(1/(2x+3y)*[+(4x+y)-(2x-2y)]

=1/(2x+2y)*(4x+y -2x + 2y)

=1/(2x+2y)*(4x - 2x + y +2y)

=1/(2x+2y)*(2x+3y)
Cancelling common factors from numerator and denominator,
=1