Question

(y^2+2y-3)/(y-1)
please​

Answer 1

Answer:

y+3 is the answer.

Step-by-step explanation:

STEP

1

:

           y2 + 2y - 3

Simplify   ———————————

              y - 1  

Trying to factor by splitting the middle term

1.1     Factoring  y2 + 2y - 3

The first term is,  y2  its coefficient is  1 .

The middle term is,  +2y  its coefficient is  2 .

The last term, "the constant", is  -3

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   2 .

     -3    +    1    =    -2

     -1    +    3    =    2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  3

                    y2 - 1y + 3y - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   y • (y-1)

             Add up the last 2 terms, pulling out common factors :

                   3 • (y-1)

Step-5 : Add up the four terms of step 4 :

                   (y+3)  •  (y-1)

            Which is the desired factorization

Canceling Out :

1.2    Cancel out  (y-1)  which appears on both sides of the fraction line.

Final result :

 y + 3 pls mark as brainliest