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Furqan Ali

Solve the equation

(a + 2i)(b – i) =

Posted in Algebra, asked by Furqan Ali, 6 years ago. 1820 hits.

1

(a+2i)(b-i)

ab-ai+2bi-2i2

a(b-i)+2(bi-i2);i2=-1

a(b-i)+2(bi+1)

=ab-ai+2bi+2

 

 

 

tracie santos
tracie santos - 6 years ago
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we can solve it further =ab-ai+2bi+2 =ab - i(2b-a) + 2 - Furqan Ali 6 years ago

0

(a+2i)(b-i)

=a(b-i) + 2i(b-i)

=ab -ai +2bi -2i2

=ab + 2bi - ai +2   ( as i2 = -1)

 

 

Umair Bin Tariq
Umair Bin Tariq - 6 years ago
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we can solve it further ab + 2bi - ai +2 ab + i(2b-a) + 2 - Furqan Ali 6 years ago

0

use the foil method. First, Outer, Inner, Last term. First means multiply the terms which occur first in each binomial. Then Outer means multiply the outermost terms in the product. Inner means multiply the innermost two terms. Last means multiply the terms which occur last in each binomial.

(a+2i)(b-i)

ab-ai+2bi-2i2

ab-ai+2bi-(2)(-1)

ab-ai+2bi+2

simplify it if there are similar terms. Since there aren't, the final answer is

--> ab-ai-2bi+2

 

 

Mariji Constante
Mariji Constante - 6 years ago
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