# The number (1-i)31-i2 is equal to ______. - Mathematics

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The number (1 - i)^3/(1 - i^2) is equal to ______.

#### Solution

The number (1 - i)^3/(1 - i^2) is equal to –2.

Explanation:

(1 - i)^3/(1 - i^2) = (1 - i)^3/((1 - i)(1 + i + i^2))

= (1 - i)^2/((1 + i - 1))

= (1 + i^2 - 2i)/i

= (1 - 1 - 2i)/i

= (-2i)/i

= –2

Concept: Algebraic Operations of Complex Numbers
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#### APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 5 Complex Numbers and Quadratic Equations
Exercise | Q 25.(iii) | Page 93

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