SOLUTION: Directions: Add or subtract as indicated. Express your result in simplest form. Problem# 54 (2)/(5w+10) - (3)/(2w-4) Problem #58 (3)/(x^2+4x+3)- (1)/(x^2-9) Problem#

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Directions: Add or subtract as indicated. Express your result in simplest form. Problem# 54 (2)/(5w+10) - (3)/(2w-4) Problem #58 (3)/(x^2+4x+3)- (1)/(x^2-9) Problem#      Log On


   

Question 69041: Directions: Add or subtract as indicated. Express your result in simplest form.
Problem# 54
(2)/(5w+10) - (3)/(2w-4)
Problem #58
(3)/(x^2+4x+3)- (1)/(x^2-9)
Problem#62
(4y)/(y^2+6y+5) + (2y)/(y^2-1)
Answer by ganit(6) About Me  (Show Source):
You can put this solution on YOUR website!
Problem# 54
(2)/(5w+10) - (3)/(2w-4)

2/(5w + 10) - 3 / (2w-4)
now the LCM of the denominator will be: (5w+ 10) x (2w - 4)
= 5w x 2w + 5w x (-4) + 10w -40
= 10w^2 + 20w -10w-40
get similar terms together = 10 w^2 +10w - 40
The expression will be [ 2 x (2w-4) - 3 x (5w+10) ]/(10w^2 +10 w - 40)
=( 4w- 8 -15w -30)/10(w^2 +w - 4)
=(-11w -38)/10(w^2+w-4)
= (11w+38) /10(4-w-w^2)