Question

3x+2 over 15x^2+16x+4

Answer 1

to this and your other problem you have to factorize every term of your fractions then cancel common factors

Answer 2

can you walk me through so i can do the next one?

Answer 3

ok the numerator is just 3x+2 which can't be factorized
now looking at the denominator we see its a quadratic trinomial
15x^2+16x+4
to factorize it :
multiply 15 and 4 which gives 60
now look for 2 numbers whose product is 60 and whose sum is the middle term 16
these are 10 and 6
now rewrite the expression as 15x^2+10x+6x+4
now factor each 2 terms alone:
5x(3x+2)+2(3x+2)
which gives (3x+2)(5x+2)