Question
Simplify the expression
Solution
−63−22i
Evaluate
(−5+6i)(3+8i)
Apply the distributive property
−5×3−5×8i+6i×3+6i×8i
Multiply the numbers
−15−5×8i+6i×3+6i×8i
Multiply the numbers
−15−40i+6i×3+6i×8i
Multiply the numbers
−15−40i+18i+6i×8i
Multiply the numbers
More Steps
Evaluate
6i×8i
Multiply
6×8i2
Multiply
48i2
Use i2=−1 to transform the expression
48(−1)
Calculate
−48
−15−40i+18i−48
Calculate
−63−40i+18i
Solution
More Steps
Evaluate
−40i+18i
Collect like terms by calculating the sum or difference of their coefficients
(−20+9)×2i
Calculate
−11×2i
Multiply the numbers
−22i
−63−22i
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