Question

36a²-12a+1-25b²...............​

Answer 1

Step-by-step explanation:

Factoring  36a2+12a+1 

The first term is,  36a2  its coefficient is  36 .

The middle term is,  +12a  its coefficient is  12 .

The last term, "the constant", is  +1 

Step-1 : Multiply the coefficient of the first term by the constant   36 • 1 = 36 

Step-2 : Find two factors of  36  whose sum equals the coefficient of the middle term, which is   12 .

     -36   +   -1   =   -37     -18   +   -2   =   -20     -12   +   -3   =   -15     -9   +   -4   =   -13     -6   +   -6   =   -12     -4   +   -9   =   -13     -3   +   -12   =   -15     -2   +   -18   =   -20     -1   +   -36   =   -37     1   +   36   =   37     2   +   18   =   20     3   +   12   =   15     4   +   9   =   13     6   +   6   =   12   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  6  and  6 

                     36a2 + 6a + 6a + 1

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

                    6a • (6a+1)

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

                     1 • (6a+1)

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

                    (6a+1)  •  (6a+1)

I hope it will help you to understand ❤