Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−44−i
Evaluate
(3−2i)(−10−7i)
Apply the distributive property
3(−10)+3(−7i)−2i(−10)−2i(−7i)
Multiply the numbers
More Steps
Evaluate
3(−10)
Multiplying or dividing an odd number of negative terms equals a negative
−3×10
Multiply the numbers
−30
−30+3(−7i)−2i(−10)−2i(−7i)
Multiply the numbers
−30−21i−2i(−10)−2i(−7i)
Multiply the numbers
−30−21i+20i−2i(−7i)
Multiply the numbers
More Steps
Evaluate
−2i(−7i)
Multiply
−2(−7)i2
Multiply
14i2
Use i2=−1 to transform the expression
14(−1)
Calculate
−14
−30−21i+20i−14
Calculate
−44−21i+20i
Solution
More Steps
Evaluate
−21i+20i
Collect like terms by calculating the sum or difference of their coefficients
(−21+20)i
Calculate
−i
−44−i
Show Solution
