What is 3(-1+4i)+2(2-5i) ?

The solution to 3(-1+4i)+2(2-5i) is 1+2i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3(-1+4i)+2(2-5i)

simplify

3 (- 1 + 4 i) + 2 (2 - 5 i)

1 + 2 i

Solution steps

3 (- 1 + 4 i) + 2 (2 - 5 i)

Expand

3 (- 1 + 4 i) : - 3 + 12 i

= - 3 + 12 i + 2 (2 - 5 i)

Expand

2 (2 - 5 i) : 4 - 10 i

= - 3 + 12 i + 4 - 10 i

Group like terms

= 12 i - 10 i - 3 + 4

Add similar elements:

12 i - 10 i = 2 i

= 2 i - 3 + 4

Add the numbers:

- 3 + 4 = 1

= 2 i + 1

Rewrite in standard complex form:

1 + 2 i

= 1 + 2 i

\frac{21}{( - 3 )}

2 m + 3 m - 4 m + 5 n

\frac{2}{3} + \frac{5}{9}

m^{2} + 6 m - 27

16 p^{4} + 4 p^{6}