Question

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

Answer 1

Answer:

See Below.

Step-by-step 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:

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

Answer 2

Answer:

Step-by-step explanation:

Expand:

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