Express each of the following in a+bi form. a)(13 +4i)+(7 +5i)b)(5 − i)−2(1 − 3i)c)(3− i)(4 +7i)d)(3 − i)(4 +7i) − i(5 − i) − 2(1 − 3i)i

a)

b)

c)

d)

Step-by-step explanation:

a) The sum/difference of two complex numbers is given by:

so:

b) Using the previous property and the distributive property:

c)

Using a process similar to the previous one and taking into account that:

d) Using everything we used in the previous problems:

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

answer: this is not a question

step-by-step explanation: this is a answer