Question

Factorize the expression completely y^2 +y -72

Answer 1

Answer:y2+y-72

=y2+9y-8y-72

=y(y+9)-8(y+9)

=(y-8)(y+9)

Answer 2

Given:

The expression =y²+y-72

Solution:-

To factorise the expression to find factors of constant term of the expression

Here, we have given the constant term =72

So the certain factors of 72 are

9×8

12×6

36×2

72×1

Above, we have to notice that for the given expression which factors is perfect for the expression so, the perfect factors are 9 and 8 of 72

Now, factorise the expression here

==>y²+y-72

==>y²+9y-8y-72

==y(y+9)-8(y+9)

==>(y-8)(y+9)

Hence,

The required answer is (y-8)(y+9)