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Popular >

simplify (a+bi)(a+bi)

Solution

simplify

(a + bi) (a + bi)

Solution

(a^{2} - b^{2}) + 2 abi

Solution steps

(a + bi) (a + bi)

Apply complex arithmetic rule:

(a + bi) (c + d i) = (a c - b d) + (a d + b c) i

= (aa - bb) + (ab + ba) i

Simplify

(aa - bb) + (ab + ba) i : (a^{2} - b^{2}) + 2 abi

= (a^{2} - b^{2}) + 2 abi

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Frequently Asked Questions (FAQ)

What is (a+bi)(a+bi) ?
The solution to (a+bi)(a+bi) is (a^2-b^2)+2abi