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Popular >

simplify (8+9i)^2

Solution

simplify

(8 + 9 i)^{2}

Solution

- 17 + 144 i

Solution steps

(8 + 9 i)^{2}

Apply Perfect Square Formula:

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

(8 + 9 i)^{2} = 8^{2} + 2 \cdot 8 \cdot 9 i + (9 i)^{2}

= 8^{2} + 2 \cdot 8 \cdot 9 i + (9 i)^{2}

Simplify

8^{2} + 2 \cdot 8 \cdot 9 i + (9 i)^{2} : 144 i - 17

= 144 i - 17

Rewrite in standard complex form:

- 17 + 144 i

= - 17 + 144 i

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Frequently Asked Questions (FAQ)

What is (8+9i)^2 ?
The solution to (8+9i)^2 is -17+144i