simplify (3+i)(1-i)

Solution

simplify

(3 + i) (1 - i)

4 - 2 i

Solution steps

(3 + i) (1 - i)

Apply complex arithmetic rule:

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

= (3 \cdot 1 - 1 \cdot (- 1)) + (3 (- 1) + 1 \cdot 1) i

Simplify

(3 \cdot 1 - 1 \cdot (- 1)) + (3 (- 1) + 1 \cdot 1) i : 4 - 2 i

= 4 - 2 i

- 19 x + 7 + 15 x + 11

i^{810}

- cos^{2} (x) - sin^{2} (x)

- (4 X - (4 - (3 - 2 X)) + 5 X)

\frac{x}{6 x - x ^{2}}