Question

express the complex number (3+5i)(2+6i)in the form a+ib. ​

Answer 1

Answer:

given: (3+5i)(2+6i)

To Express in the form ai+ib

solution : (3+5i)(2+6i)

= (3)(2)+(3)(6i) + (5i)(2)+ (5i)(6i)

= 6+18i+10i+30i²

=6+28i+30(-1)

=6+28i-30

= -24+28i = a+bi

hence,answer is -24+28i.

hope this helps you

thank you

Answer 2

Answer:

The $a + ib$ form of complex number $(3 + 5i)(2 + 6i)$ is $-24 + 28i$.

Step-by-step explanation:

Given complex number, $(3 + 5i)(2 + 6i)$

Conversion of complex number into  $a + ib$ form is as follows.

$(3 + 5i)(2 + 6i)$ $= 3(2 + 6i) + 5i(2 + 6i)$

                       $= 3(2) + 3(6i) + 5i(2) + 5i(6i)$

                       $= 6 + 18i + 10i + 30(i^{2} )$

                       $= 6 + 28i + 30(-1 )$

                       $= 6 + 28i - 30$

                       $= 28i - 24$

                       $= - 24 + 28i$.

Thus, the  $a + ib$ form of given complex number is $- 24 + 28i$.