Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
698+1716i
Evaluate
(5−13i)(i−17)(6−5i)
Multiply the first two terms
More Steps
Evaluate
(5−13i)(i−17)
Apply the distributive property
5i+5(−17)−13i×i−13i(−17)
Multiply the numbers
More Steps
Evaluate
5(−17)
Multiplying or dividing an odd number of negative terms equals a negative
−5×17
Multiply the numbers
−85
5i−85−13i×i−13i(−17)
Multiply the numbers
More Steps
Evaluate
−13i×i
Multiply
−13i2
Use i2=−1 to transform the expression
−13(−1)
Calculate
13
5i−85+13−13i(−17)
Multiply the numbers
5i−85+13+221i
Calculate
5i−72+221i
Calculate
More Steps
Evaluate
5i+221i
Collect like terms by calculating the sum or difference of their coefficients
(5+221)i
Calculate
226i
226i−72
Reorder the terms
−72+226i
(−72+226i)(6−5i)
Apply the distributive property
−72×6−72(−5i)+226i×6+226i(−5i)
Multiply the numbers
−432−72(−5i)+226i×6+226i(−5i)
Multiply the numbers
−432+360i+226i×6+226i(−5i)
Multiply the numbers
−432+360i+1356i+226i(−5i)
Multiply the numbers
More Steps
Evaluate
226i(−5i)
Multiply
226(−5)i2
Multiply
−1130i2
Use i2=−1 to transform the expression
−1130(−1)
Calculate
1130
−432+360i+1356i+1130
Calculate
698+360i+1356i
Solution
More Steps
Evaluate
360i+1356i
Collect like terms by calculating the sum or difference of their coefficients
(30+113)×12i
Calculate
143×12i
Multiply the numbers
1716i
698+1716i
Show Solution
