a)4x+1/3x-5 + 2x/12x-20
b) 3x-1/x^2+4x+3 - x+6/2x^2+7x+1
Simplify and state restrictions on the variable
Please help
(a) First factorise and cancel where possible
4x+1/3x-5 + 2x/12x-20 = 4x+1/3x-5 + 2x/4(3x-5) = 4x+1/3x-5 + x/2(3x-5)
Then multiply the top and bottom of each fraction so that they have the same denominator
= 2(4x+1)/2(3x-5) + 2x/4(3x-5)
Then add the fractions together
= (8x+2+2x)/2(3x-5) = (10x+2)/2(3x-5)
Finally factorise and cancel down if possible
= 2(5x+1)/2(3x-5) = (5x+1)/(3x-5)
(b) similar