\
Expand the numerator using formula (a + b)2 = a2 + b2 + 2ab.
\ (Evaluate power:
)
(Multipl:
)
(Substitute the imaginary unit value
)
(Product of two different signs is negative)
(Subtract: 100 - 1 = 99) \ \
Multiply the numerator and denominator by the conjugate of the denominator. Conjugate of
is
.
(Multiply the numerator and denominator by
)
(Using multiply formula:
)
(Evaluate powers:
)
(Multiply the numerator using FOIL method)
(Multiply:
)
(Distributive property:
)
(Add: 99 + 80 = 179)
(Substitute the imaginary unit value
)
(Product of two different signs is negative)
(Product of two same signs is positive)
(Commutative property: a + b = b + a)
(Subtract: 396 - 20 = 376) \ \
(Add: 16 + 1 = 17) \ \
(Write standard division form:
)
The simplified expression is .