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

The solution to 4(2+5i)-(3-4i) is 5+24i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

5 + 24 i

Solution steps

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

Remove parentheses:

- (a + bi) = - a - bi

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

Apply rule:

- (- a) = a

- (- 4) = 4

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

Expand

4 (2 + 5 i) : 8 + 20 i

= 8 + 20 i - 3 + 4 i

Group like terms

= 20 i + 4 i + 8 - 3

Add similar elements:

20 i + 4 i = 24 i

= 24 i + 8 - 3

Subtract the numbers:

8 - 3 = 5

= 24 i + 5

Rewrite in standard complex form:

5 + 24 i

= 5 + 24 i

\frac{20}{3} \times 6

x^{2} - 2 6 x + 6

x^{- 4} \cdot (x^{- 4})^{4}

\frac{- 2 + - 12}{2}

(2 x - \frac{1}{x})^{2}