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3 years ago

I have to match each expression to its equivalent form. Please help me out

Mathematics

1 answer:

Delvig [45]3 years ago

3 0

Answer:

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).

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