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Popular >

simplify (1+i)(x+iy)

Solution

simplify

(1 + i) (x + i y)

Solution

(x - y) + (y + x) i

Solution steps

(1 + i) (x + i y)

Rewrite

x + i y

in standard complex form:

x + y i

= (1 + i) (x + y i)

Apply complex arithmetic rule:

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

= (1 \cdot x - 1 \cdot y) + (1 \cdot y + 1 \cdot x) i

Simplify

(1 \cdot x - 1 \cdot y) + (1 \cdot y + 1 \cdot x) i : (x - y) + (y + x) i

= (x - y) + (y + x) i

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Frequently Asked Questions (FAQ)

What is (1+i)(x+iy) ?
The solution to (1+i)(x+iy) is (x-y)+(y+x)i