Perform the indicated operation
(1 – 3i)(5 + 5i)(4 – 1i) =

70-60i

Step-by-step explanation:

(1 – 3i)(5 + 5i)(4 – 1i) =

taking the first two, before we do the last one

(1 – 3i)(5 + 5i)

1(5+5i)-3i(5+5i)

1(5)+1(5i)-3i(5)-3i(5i)

5+5i-15i-15i²

from the miltiplication law, i² is -1

5-10i-15i² = 5-10i-15(-1) = 5-10i+15 = 5+15-10i = 20-10i

then multiply (20-10i) (4 – 1i)

20(4 – 1i)-10i(4 – 1i)

20(4)-20(1i)-10i(4)-10i(-1i)

80-20i-40i+10i²

80-60i+10(-1)

80-60i-10

80-10-60i

(1 – 3i)(5 + 5i)(4 – 1i) =70-60i

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !

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step-by-step explanation: