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Popular >

simplify (9+3i)^2

Solution

simplify

(9 + 3 i)^{2}

Solution

72 + 54 i

Solution steps

(9 + 3 i)^{2}

Apply Perfect Square Formula:

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

(9 + 3 i)^{2} = 9^{2} + 2 \cdot 9 \cdot 3 i + (3 i)^{2}

= 9^{2} + 2 \cdot 9 \cdot 3 i + (3 i)^{2}

Simplify

9^{2} + 2 \cdot 9 \cdot 3 i + (3 i)^{2} : 54 i + 72

= 54 i + 72

Rewrite in standard complex form:

72 + 54 i

= 72 + 54 i

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Frequently Asked Questions (FAQ)

What is (9+3i)^2 ?
The solution to (9+3i)^2 is 72+54i