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Popular >

simplify (iw+3)^2

Solution

simplify

(i w + 3)^{2}

Solution

(- w^{2} + 9) + 6 w i

Solution steps

(i w + 3)^{2}

Apply Perfect Square Formula:

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

(i w + 3)^{2} = (i w)^{2} + 2 i w \cdot 3 + 3^{2}

= (i w)^{2} + 2 i w \cdot 3 + 3^{2}

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

2 i w \cdot 3 = 6 w i

3^{2} = 9

= - w^{2} + 6 w i + 9

Rewrite in standard complex form:

(- w^{2} + 9) + 6 w i

= (- w^{2} + 9) + 6 w i

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Frequently Asked Questions (FAQ)

What is (iw+3)^2 ?
The solution to (iw+3)^2 is (-w^2+9)+6wi