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Popular >

simplify (4+9i)^2

Solution

simplify

(4 + 9 i)^{2}

Solution

- 65 + 72 i

Solution steps

(4 + 9 i)^{2}

Apply Perfect Square Formula:

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

(4 + 9 i)^{2} = 4^{2} + 2 \cdot 4 \cdot 9 i + (9 i)^{2}

= 4^{2} + 2 \cdot 4 \cdot 9 i + (9 i)^{2}

Simplify

4^{2} + 2 \cdot 4 \cdot 9 i + (9 i)^{2} : 72 i - 65

= 72 i - 65

Rewrite in standard complex form:

- 65 + 72 i

= - 65 + 72 i

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Frequently Asked Questions (FAQ)

What is (4+9i)^2 ?
The solution to (4+9i)^2 is -65+72i