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Popular >

simplify (x+3i)^2

Solution

simplify

(x + 3 i)^{2}

Solution

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

Solution steps

(x + 3 i)^{2}

Apply Perfect Square Formula:

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

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

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

2 x \cdot 3 i = 6 x i

(3 i)^{2} = - 9

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

Rewrite in standard complex form:

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

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

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Frequently Asked Questions (FAQ)

What is (x+3i)^2 ?
The solution to (x+3i)^2 is (x^2-9)+6xi