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Popular >

simplify (7+9i)^2

Solution

simplify

(7 + 9 i)^{2}

Solution

- 32 + 126 i

Solution steps

(7 + 9 i)^{2}

Apply Perfect Square Formula:

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

(7 + 9 i)^{2} = 7^{2} + 2 \cdot 7 \cdot 9 i + (9 i)^{2}

= 7^{2} + 2 \cdot 7 \cdot 9 i + (9 i)^{2}

Simplify

7^{2} + 2 \cdot 7 \cdot 9 i + (9 i)^{2} : 126 i - 32

= 126 i - 32

Rewrite in standard complex form:

- 32 + 126 i

= - 32 + 126 i

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Frequently Asked Questions (FAQ)

What is (7+9i)^2 ?
The solution to (7+9i)^2 is -32+126i