SOLUTION: Multiply and simplify: (4 + 3i)(9 + 7i). Write the answer in the form a + bi, where a and b are real numbers.

Question 1040495: Multiply and simplify: (4 + 3i)(9 + 7i).
Write the answer in the form a + bi, where a and b are real numbers.
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
Multiply and simplify: (4 + 3i)(9 + 7i).
Write the answer in the form a + bi, where a and b are real numbers.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Read attentively my answer:

(4 + 3i)(9 + 7i) = 4*9 + 4*(7i) + (3i)*9 + (3i)*(7i) = 

                   36  +  28i   +  27i   +   21*i^2  =    ( now recall that  = -1 and replace  by (-1) )

                   36     +   55i        +   21*(-1) =

                   36     +   55i        -   21      =

                   (36-21) +  55i                    =

                    15     +   55i.

Answer.      15 + 55i.

RELATED QUESTIONS
Multiply and simplify: (1 � 3i)(7 � 4i). Write the answer in the form a + bi, where a... (answered by Alan3354)

Simplify. Write your answers in the form of a+bi, where a and b are real numbers.(6 -... (answered by tommyt3rd)

Can someone help me with this? Simplify the product (4 + i) (6 + 7i). Express the... (answered by jim_thompson5910)

Compute (-5 + 3i) + (-5 - 3i). Express your answer in the form $a+bi$, where $a$ and $b$ (answered by ikleyn)

Divided 1+i by -5-7i? simplify. write your answers in the form of a+bi where a and b are (answered by tommyt3rd)

Multiply and simplify: (5 − 2i)(4 + 7i). Write the answer in the form a + bi,... (answered by Tatiana_Stebko,MathTherapy)

Multiply and simplify: (7 � 2i)(8 −3i) Write the answer in the form a + bi,... (answered by josgarithmetic)

13. Multiply and simplify: (7+9i)(3+2i). Write the answer in the form a+bi, where a and... (answered by Alan3354)

Multiply and simplify: (7 + 9i)(3 + 2i). Write the answer in the form a +bi, where a and (answered by MathLover1)