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Algebra II please help!!!?

1.simplify

(3+5i)/(-2+2i)

2.simplify

(6+2i)+-(11-9i)

3.simpify

(-4+i)(-4-i)

4.simplify

(3+2i)(1+4i)

5.simplify

(3+2i)/(1+4i)

anything helps thank you so much!!!

3 Answers

Relevance
  • ?
    Lv 7
    4 years ago

    1.

    (3 + 5i)/(-2 + 2i)

    = [(3 + 5i)(2i + 2)]/[(2i - 2)(2i + 2)]

    = (16i - 4)/-8

    = 1/2 - 2i

    2.

    (6 + 2i) + -(11 - 9i)

    = -5 + 11i

    3.

    (-4 + i)(-4 - i)

    = 17

    4.

    (3 + 2i)(1 + 4i)

    = -5 + 14i

    5.

    (3 + 2i)/(1 + 4i)

    = -5 + 14i

  • iceman
    Lv 7
    4 years ago

    1) (3 + 5i)/(-2 + 2i) * (-2 - 2i)/(-2 - 2i)

    = (-6 - 6i - 10i + 10)/8

    = (4 - 16i)/8

    = 1/2 - 2i

  • ?
    Lv 7
    4 years ago

    1) When dividing by complex number, like /(-2+2i) multiply by (1) as (-2-2i)/(-2-2i)

    2) distribute the negative sign -(11-9i) = -11 +9i, then combine like items

    3) use FOIL like normal

    4) use FOIL like normal

    5) When dividing by complex number, like /(1+4i) multiply by (1) as (1-4i)/(1-4i)

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