simplify (1+i)(2-i)

Solution

simplify

(1 + i) (2 - i)

3 + i

Solution steps

(1 + i) (2 - i)

Apply complex arithmetic rule:

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

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

Simplify

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

= 3 + i

(2 n - 1)^{3}

\frac{1}{cos ^{2} ( θ )}

4 (2 m + n) (2 m + n)

x^{4} y + 3 x^{3} y + 3 x^{2} y + x y