What is (-6+i)+(i^2-2i) ?

The solution to (-6+i)+(i^2-2i) is -7-i

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simplify (-6+i)+(i^2-2i)

simplify

(- 6 + i) + (i^{2} - 2 i)

- 7 - i

Solution steps

(- 6 + i) + (i^{2} - 2 i)

Simplify

(- 6 + i) + (i^{2} - 2 i) : - 6 + i + i^{2} - 2 i

= - 6 + i + i^{2} - 2 i

Group like terms

= i - 2 i + i^{2} - 6

Add similar elements:

i - 2 i = - i

= - i + i^{2} - 6

Apply imaginary number rule:

i^{2} = - 1

= - i - 1 - 6

Subtract the numbers:

- 1 - 6 = - 7

= - i - 7

Rewrite in standard complex form:

- 7 - i

= - 7 - i

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