Question

What is the factored form of the following expressions?

d^2 – 13d + 36

Answer 1

(d-4)(d-9)

Explanation:

We are given the following expression and we are to factorize it:

`d^2 - 13d + 36`

We are to find factors of 36 such that when multiplied they give a product of 36 and when added they give a result of -13.

`d^2 - 9d - 4d + 36`

`d(d - 9) - 4 (d-9)`

`(d - 4) (d-9)`

Therefore, the factored form of the given expression is (d-4)(d-9).

Answer 2

`\boxed{d^2-13d+36=(d-9)(d-4)}`

Explanation:

The given expression is

`d^2-13d+36`

We split the middle term to obtain;

`=d^2-9d-4d+36`

We factor to obtain;

`=d(d-9)-4(d-9)`

We factor further to obtain;

`=(d-9)(d-4)`