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Popular >

simplify (1-iw)^2

Solution

simplify

(1 - i w)^{2}

Solution

(1 - w^{2}) - 2 w i

Solution steps

(1 - i w)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(1 - i w)^{2} = 1^{2} - 2 \cdot 1 i w + (i w)^{2}

= 1^{2} - 2 \cdot 1 i w + (i w)^{2}

1^{2} = 1

- 2 \cdot 1 i w = - 2 w i

(i w)^{2} = - w^{2}

= 1 - 2 w i - w^{2}

Rewrite in standard complex form:

(1 - w^{2}) - 2 w i

= (1 - w^{2}) - 2 w i

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Frequently Asked Questions (FAQ)

What is (1-iw)^2 ?
The solution to (1-iw)^2 is (1-w^2)-2wi