Question

Show how
-1(x - 3)^2 + 4 is equal to
-x^2 +6x - 5

Answer 1

Explanation:

Expand:

-1(x^2-6x+9)+4=-x^2+6x-9 + 4 = -x^2 + 6x - 5

Answer 2

See Below.

Explanation:

We want to prove that:

`-(x-3)^2+4=-x^2+6x-5`

So, let’s expand the left side. This gives us:

`=-(x-3)(x-3)+4`

Distribute:

`=-(x^2-3x-3x+9)+4`

Simplify:

`=-(x^2-6x+9)+4`

Distribute:

`=-x^2+6x-9+4`

Simplify:

`=-x^2+6x-5`

Hence:

`-(x-3)^2+4\stackrel{\checkmark}{=}-x^2+6x-5`