Question

Divide the following expression: (12-14a^2-13a)÷ (3+2a)

Answer 1

Answer:

Refer the attachment above.Hope it helps u.

Answer 2

Answer:

4 - 7a

Step-by-step explanation:

First, we have to simplify the equation.

14a^2-13a-12 = -1(14a^2+13a-12)

Next, we have to split the middle term by factorizing.

Step-1 : Multiply the coefficient of the first term by the constant   14 • -12 = -168  

Step-2 : Find two factors of  -168  whose sum equals the coefficient of the middle term, which is 13.

-8 + 21 = 13.

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -8  and  21  

                    14a2 - 8a + 21a - 12

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

                   2a • (7a-4)

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

                   3 • (7a-4)

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

                   (2a+3)  •  (7a-4)

            Which is the desired factorization.

Now, instead of 12-14a^2-13a, we get (2a+3) * (7a-4), which is easier to calculate.

Let us divide!

(2a+3) * (7a-4)/ 3+2a

Cut both the like terms - 2a+3 and 3+2a.

And we get 7a-4 or 4-7a!!

Hope it helps!

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