Question

Simplify (8-7i)(-6+i)

Answer 1

Answer:

50 i - 41

Step-by-step explanation:

Simplify the following:

(-7 i + 8) (i - 6)

(8 - 7 i) (i - 6) = (8) (-6) + (8) (i) + (-7 i) (-6) + (-7 i) (i):

-6×8 + 8 i - 6 (-7 i) - 7 i×i

-6×8 = -48:

-48 + 8 i - 7 i (-6) - 7 i×i

-7 (-6) = 42:

-48 + 8 i + 42 i - 7 i×i

-7 i×i = -7 i^2:

-48 + 8 i + 42 i + -7 i^2

i^2 = -1:

-48 + 8 i + 42 i - 7-1

-7 (-1) = 7:

-48 + 8 i + 42 i + 7

-48 + 8 i + 42 i + 7 = (8 i + 42 i) + (7 - 48) = -41 + 50 i:

Answer: 50 i - 41