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Popular >

simplify (3+Mi)^2

Solution

simplify

(3 + M i)^{2}

Solution

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

Solution steps

(3 + M i)^{2}

Apply Perfect Square Formula:

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

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

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

3^{2} = 9

2 \cdot 3 M i = 6 M i

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

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

Rewrite in standard complex form:

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

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

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Frequently Asked Questions (FAQ)

What is (3+Mi)^2 ?
The solution to (3+Mi)^2 is (9-M^2)+6Mi