Question

(5-9i)-(2-6i)+(3-4i)

Answer 1

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Simplifying - Solution and Explanation

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Hello! So...

We are given the following:

`(5-9i)-(2-6i)+(3-4i)`

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1. Simplify the given expression.

`(5-9i)-(2-6i)+(3-4i)=5-9i-(2-6i)+3-4i`

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2. Group the like terms.

`-9i-4i(-2-6i)+5+3`

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3. Add similar elements (
`-9i-4i=-13i` ).

`=-13i-(2-6i)+5+3`

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4. Add the numbers (
`5+3=8` ).

`-13i-(2-6i)+8`

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5. Remove the parentheses (
`-(a+bi)=-a-bi` ).

`-13i+-2-(-6)i+8`

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6. Group the like terms.

`-13i-(-6)i-2+8`

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7. Add similar elements (
`-13i-(-6)i=-7i` ).

`-7i-2+8`

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8. Add the numbers (
`-2+8=6` ).

`-7i+6`

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9. Rewrite in standard complex form.

`6-7i`

^Hence, our solution.

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Hope this helps! If so, lmk! If you need anything else, feel free to comment below and I'll see what else I can do to assist you further. But for now, thank you for your time and good luck!