Question

factorise the following expression y2- 4y-12​

Answer 1

Answer:

-2(y + 6)

Step-by-step explanation:

2y - 4y - 12

-2y - 12

-2(y + 6)

Answer 2

Given:

Expression: y2- 4y-12​

To find:

The factors of the expression

Solution:

The required factors are (y-6) and (y+2).

We can obtain the factors by factorizing the given expression.

The given expression: y2- 4y-12​

Now, we have to find the factors of the constant term subtracting which will give us the coefficient of y.

So, rewriting the expression as follows-

=$y^{2}$-6y+2y-6×2

=$y^{2}$ -6y +2y -12

Now we take out the common terms and form brackets as follows.

=y(y-6) +2(y-6)

=(y-6)(y+2)

So, the two factors are (y-6) and (y+2).

Therefore, the required factors are (y-6) and (y+2).