Question

Factorize : x^2-12x-28+16y-y^2​

Answer 1

Answer:

x=14

x=−2

Step-by-step explanation:

  Factoring  x2-12x-28

The first term is,  x2  its coefficient is  1 .

The middle term is,  -12x  its coefficient is  -12 .

The last term, "the constant", is  -28

Step-1 : Multiply the coefficient of the first term by the constant   1 • -28 = -28

Step-2 : Find two factors of  -28  whose sum equals the coefficient of the middle term, which is   -12 .

     -28    +    1    =    -27

     -14    +    2    =    -12    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  2

                    x2 - 14x + 2x - 28

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

                   x • (x-14)

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

                   2 • (x-14)

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

                   (x+2)  •  (x-14)

            Which is the desired factorization