(−𝟕 + 𝟕𝒊)(𝟏𝟎 − 𝟓𝒊)

asked by guest
on Mar 25, 2025 at 5:40 pm



You asked:

Evaluate the expression: (−7+7i)(10−5i)\left(-7 + 7 i\right) \left(10 - 5 i\right)

MathBot Answer:

Evaluated



(−7+7i)(10−5i)=(−7+7i)(10−5i)\displaystyle \left(-7 + 7 i\right) \left(10 - 5 i\right) = \left(-7 + 7 i\right) \left(10 - 5 i\right)

Expanded

(−7+7i)(10−5i)=−35+105i\left(-7 + 7 i\right) \left(10 - 5 i\right) = -35 + 105 i

Factored

(−7+7i)(10−5i)=(−35+35i)(2−i)\left(-7 + 7 i\right) \left(10 - 5 i\right) = \left(-35 + 35 i\right) \left(2 - i\right)

ii is the imaginary unit, defined as i2=−1i^2 = -1.

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