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Popular >

simplify (2+9i)^2

Solution

simplify

(2 + 9 i)^{2}

Solution

- 77 + 36 i

Solution steps

(2 + 9 i)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

2^{2} + 2 \cdot 2 \cdot 9 i + (9 i)^{2} : 36 i - 77

= 36 i - 77

Rewrite in standard complex form:

- 77 + 36 i

= - 77 + 36 i

Popular Examples

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\frac{x - 1}{8} \geq \frac{x - 3}{12} + \frac{1}{24}

2.2 > 2 - 0.4 x

3 x + 2 > 8

Frequently Asked Questions (FAQ)

What is (2+9i)^2 ?
The solution to (2+9i)^2 is -77+36i