A)3/5x + 1/x+2 can be written as a single fraction in the form ax+b/5x(x+2) where a and b are integers.
Work out the value of a and the value of b.
a =
b=
b) Factorise 4(x + y) + (x + y)^2

3/(5x) + 1/(x+2)

to give them the same denominator,
multiply 3 by (x+2) and 1 by (5x)
3(x+2) = 3x+2 and 1(5x)= 5x
now we have
3x+6/(5x)(x+2) and 5x/(5x)(x+2)
adding the numerators gives us

8x+6/(5x)(x+2)
therefore a=8 and b=6