Question

What is the factored form of the following expressions?

d^2 – 13d + 36

Answer 1

Answer:

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

Step-by-step 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;

$=(d-9)(d-4)$

Answer 2

Answer:

(d-4)(d-9)

Step-by-step 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).