Question

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

Answer 1

Answer:

a 6+ 8i

b -5 + 5i

c 34i

d 8 + i

Step-by-step explanation:

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

Add them together  6 + 8i

b)(−1+2i) − (4 − 3i)

Add them together -5 + 5i

c)(5+3i)(3 +5i)

Multiply it out  15 + 25i + 9i + 15$i^{2}$

Add them together ($i^{2}$ = the number times -1) 34i

d)(1 +i)(2 − 3i) +3i(1− i) − i

Multiply it out  (2 - 3i + 2i - 3$i^{2}$) + (3i - 3$i^{2}$) - i

Add what is in the parenthesis together ($i^{2}$ = the number times -1) (5 - i) + (3 + 3i) - i

Add them together 8 + i