Question

If 2c=-1, then (4-4c)² =.
A) 6
B) 36
C) 4
D) 2

Answer 1

Answer: B) 36

Explanation:

First, start by solving for c with the given function
`2c=-1`

`2c=-2\\\\c=-(1)/(2)`

Then, we can solve for c using two different methods.

The first method that we can use is foiling out
`(4-4c)^2` and then plugging in
`-(1)/(2)` for c.

`(4-4c)^2\\\\=(4-4c)(4-4c)\\\\=16-16c-16c+16c^2\\\\=16-32c+16c^2\\\\=16-32(-(1)/(2))+16(-(1)/(2))^2\\\\=16+16+16((1)/(4))\\\\=32+4\\\\=36`

The second, and more simpler method is to plug in
`c=-(1)/(2)` directly into
`(4-4c)^2`

`(4-4c)^2\\\\=(4-4(-(1)/(2)))^2\\\\=(4+2)^2\\\\=(6)^2\\\\=36`