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Popular >

simplify (7+3i)^2

Solution

simplify

(7 + 3 i)^{2}

Solution

40 + 42 i

Solution steps

(7 + 3 i)^{2}

Apply Perfect Square Formula:

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

(7 + 3 i)^{2} = 7^{2} + 2 \cdot 7 \cdot 3 i + (3 i)^{2}

= 7^{2} + 2 \cdot 7 \cdot 3 i + (3 i)^{2}

Simplify

7^{2} + 2 \cdot 7 \cdot 3 i + (3 i)^{2} : 42 i + 40

= 42 i + 40

Rewrite in standard complex form:

40 + 42 i

= 40 + 42 i

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Frequently Asked Questions (FAQ)

What is (7+3i)^2 ?
The solution to (7+3i)^2 is 40+42i