# How do you simplify (2+3i)+(7+i) and write the complex number in standard form?

Sep 16, 2016

$9 + 4 i$

#### Explanation:

distribute the brackets and collect like terms.

$\Rightarrow \left(2 + 3 i\right) + \left(7 + i\right) = 2 + 3 i + 7 + i$

collecting like terms.

$= \left(2 + 7\right) + \left(3 i + i\right) = 9 + 4 i \leftarrow \text{ in standard form}$

The standard form of a complex number is written.

$z = a + b i$ where a is the real part and bi the imaginary part.