Ihave to match each expression to its equivalent form. me out

x^2 - 12x + 37

x^2 + 16

x^2 + 6x + 34

Step-by-step explanation:

Let's expand the first one:-

(x - 6 + i)(x - 6 - i)

= x^2 - 6x - ix - 6x + 36 + 6i  + ix - 6i - i^2

= x^2 - 12x  -ix + ix - 6i + 6i  + 36 - (-1)

= x^2 - 12x + 37 (answer).

(x + 4i)(x - 4i)

= x^2 + 4ix - 4ix -16 i^2

= x^2 + 16   (answer).

(x + 3 + 5i)(x + 3 - 5i)

= x^2 + 3x - 5ix + 3x + 9 - 15i + 5ix  + 15i - 25 i^2

= x^2 + 6x + 34. (answer).

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: