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).

i can you answer this question sweetie!

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .