Question

Simplify the expression.

(1 − 6i) + (5 + i)

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Answer 1

6-5i

Explanation:

To solve for this equations we have to group the like terms together

(1-6i)+(5+i)

we will group -6i with +i and positive 1 with positive 5

so we get (-6i+i)+(1+5)

-5i+6 or can be written as 6-5i

-6i+i ( there is actually an imaginary 1 with i and you subtract these 2 numbers because the signs are different and use the signs of the larger number which is 6 and the sign is negative.

Answer 2

6+-5i

or

6-5i

Explanation:

(1-6i)+(5+i)

We do not need the ( ) since the operation is just addition.

1-6i+5+i

Reorder using commutative property so that like terms are together:

1+5+-6i+i

Use multiplicative identity property:

1+5+-6i+1i

Simplify:

6+-5i