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Popular >

simplify (5+9i)^2

Solution

simplify

(5 + 9 i)^{2}

Solution

- 56 + 90 i

Solution steps

(5 + 9 i)^{2}

Apply Perfect Square Formula:

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

(5 + 9 i)^{2} = 5^{2} + 2 \cdot 5 \cdot 9 i + (9 i)^{2}

= 5^{2} + 2 \cdot 5 \cdot 9 i + (9 i)^{2}

Simplify

5^{2} + 2 \cdot 5 \cdot 9 i + (9 i)^{2} : 90 i - 56

= 90 i - 56

Rewrite in standard complex form:

- 56 + 90 i

= - 56 + 90 i

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Frequently Asked Questions (FAQ)

What is (5+9i)^2 ?
The solution to (5+9i)^2 is -56+90i