Question

Find the missing coefficient. (5d-7)(5d-6)=25d^2+__d+42

Answer 1

`-65`

Explanation:

`(5d-7)(5d-6)`

`5d(5d)+5d(-6)-7(5d)-7(-6)`

`25d^2+-30d+-35d+42`

`25d^2+-65d+42`

The missing coefficient of
`d` is
`-65`.

Answer 2

25d^2 -65d +42

Explanation:

(5d-7)(5d-6)=25d^2+__d+42

FOIL

(5d-7)(5d-6)=

First 5d*5d = 25d^2

Outer 5d*-6 = -30d

Inner -7*5d = -35d

Last = -7*-6 = 42

Add them together

25d^2 -30d -35d +42

25d^2 -65d +42