Question
Simplify the expression
−63−6i
Evaluate
(6−3i)(−8−5i)
Apply the distributive property
6(−8)+6(−5i)−3i(−8)−3i(−5i)
Multiply the numbers
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Evaluate
6(−8)
Multiplying or dividing an odd number of negative terms equals a negative
−6×8
Multiply the numbers
−48
−48+6(−5i)−3i(−8)−3i(−5i)
Multiply the numbers
−48−30i−3i(−8)−3i(−5i)
Multiply the numbers
−48−30i+24i−3i(−5i)
Multiply the numbers
More Steps

Evaluate
−3i(−5i)
Multiply
−3(−5)i2
Multiply
15i2
Use i2=−1 to transform the expression
15(−1)
Calculate
−15
−48−30i+24i−15
Calculate
−63−30i+24i
Solution
More Steps

Evaluate
−30i+24i
Collect like terms by calculating the sum or difference of their coefficients
(−5+4)×6i
Calculate
−6i
−63−6i
Show Solution
