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Popular >

simplify (4+3i)^2

Solution

simplify

(4 + 3 i)^{2}

Solution

7 + 24 i

Solution steps

(4 + 3 i)^{2}

Apply Perfect Square Formula:

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

(4 + 3 i)^{2} = 4^{2} + 2 \cdot 4 \cdot 3 i + (3 i)^{2}

= 4^{2} + 2 \cdot 4 \cdot 3 i + (3 i)^{2}

Simplify

4^{2} + 2 \cdot 4 \cdot 3 i + (3 i)^{2} : 24 i + 7

= 24 i + 7

Rewrite in standard complex form:

7 + 24 i

= 7 + 24 i

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Frequently Asked Questions (FAQ)

What is (4+3i)^2 ?
The solution to (4+3i)^2 is 7+24i