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Popular >

simplify (2+i)(2+2i)

Solution

simplify

(2 + i) (2 + 2 i)

Solution

2 + 6 i

Solution steps

(2 + i) (2 + 2 i)

Apply complex arithmetic rule:

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

= (2 \cdot 2 - 1 \cdot 2) + (2 \cdot 2 + 1 \cdot 2) i

Simplify

(2 \cdot 2 - 1 \cdot 2) + (2 \cdot 2 + 1 \cdot 2) i : 2 + 6 i

= 2 + 6 i

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Frequently Asked Questions (FAQ)

What is (2+i)(2+2i) ?
The solution to (2+i)(2+2i) is 2+6i