i cannot finish question 7 and i got the wrong answer for 6,
6. answer is 3/y y cannot equal -1, 0
7. answer is 2(x^2 - 3x + 5)/(x-5)(x-5) x cannot equal -3, 0, 1, 2
thank u
For 6, I have no idea how you got the denominator y + 1 + y^2. The common denominator would be y^2 + y. Notice that (y+1) * y = y^2 + y. You should be able to simplify with that info in mind. Just make sure that before you start simplifying, you take the separate denominators and set them equal to zero so you know what values of y are impossible.
For 7, the factorization of 2x^2 + 9x -5 is (2x - 1)(x + 5). You should be able to finish the simplification with that info.
Apparently you just don't understand how to "cancel". In the above problem, you tried to cancel an "x+ 5" in the denominator with an "x+ 5" which is in the first term but not the second, and cancel an "x- 5" in the denominator with an "x- 5" which is in the second term but not the first. You cannot do that! For example, if you have $\displaystyle \frac{2+ 3}{2(3)}= \frac{5}{6}$, you cannot cancel the "2" in the denominator with the 2 in the first term and the "3" in the denominator with the 3 in the second term. 5/6 is NOT equal to 1+ 1= 2!
You have to cancel factors of the numerator and denominator. If we have 6/10= 2(3)/2(5) then we can cancel the factors of "2" leaving 3/5. If we have (2+3)/2(5) we cannot cancel the "2"s. We can add the 2+ 3= 5 getting 5/2(5) and then cancel the factors of "5" leaving 1/2.