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Popular >

simplify (θ+wi)^2

Solution

simplify

(θ + w i)^{2}

Solution

(θ^{2} - w^{2}) + 2 θw i

Solution steps

(θ + w i)^{2}

Apply Perfect Square Formula:

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

(θ + w i)^{2} = θ^{2} + 2 θw i + (w i)^{2}

= θ^{2} + 2 θw i + (w i)^{2}

Simplify

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

= θ^{2} + 2 θw i - w^{2}

Rewrite in standard complex form:

(θ^{2} - w^{2}) + 2 θw i

= (θ^{2} - w^{2}) + 2 θw i

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Frequently Asked Questions (FAQ)

What is (θ+wi)^2 ?
The solution to (θ+wi)^2 is (θ^2-w^2)+2θwi