simplify (2+i)(3+i)

Solution

simplify

(2 + i) (3 + i)

5 + 5 i

Solution steps

(2 + i) (3 + i)

Apply complex arithmetic rule:

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

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

Simplify

(2 \cdot 3 - 1 \cdot 1) + (2 \cdot 1 + 1 \cdot 3) i : 5 + 5 i

= 5 + 5 i

- 2 x^{2} - 4 x + 4

\frac{x ^{6}}{49} - \frac{4 a ^{10}}{121}

\frac{25 x - 4 x ^{2} - 25}{4 x ^{2} + 15 x - 25}

5 x + 2 x^{2}

144 x^{18}