What is (3-3i)(-2+2sqrt(3)i) ?

The solution to (3-3i)(-2+2sqrt(3)i) is (-6+6sqrt(3))+6(sqrt(3)+1)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3-3i)(-2+2sqrt(3)i)

simplify

(3 - 3 i) (- 2 + 23 i)

(- 6 + 63) + 6 (3 + 1) i

Solution steps

(3 - 3 i) (- 2 + 23 i)

Apply complex arithmetic rule:

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

= (3 (- 2) - (- 3) \cdot 23) + (3 \cdot 23 - 3 (- 2)) i

Simplify

(3 (- 2) - (- 3) \cdot 23) + (3 \cdot 23 - 3 (- 2)) i : (- 6 + 63) + (63 + 6) i

= (- 6 + 63) + (63 + 6) i

Simplify

(- 6 + 63) + (63 + 6) i : - 6 + 63 + 6 i (3 + 1)

= - 6 + 63 + 6 i (3 + 1)

Rewrite in standard complex form:

(- 6 + 63) + 6 (3 + 1) i

= (- 6 + 63) + 6 (3 + 1) i

2 (a + h)^{2}

496

(8 + 6 i)^{2}

(- 9 + 5 i) - (- 3 + 7 i)

\frac{tan ( θ ) cot ( θ )}{sec ( θ )}

What is (3-3i)(-2+2sqrt(3)i) ?
The solution to (3-3i)(-2+2sqrt(3)i) is (-6+6sqrt(3))+6(sqrt(3)+1)i