Question

16. Express the complex number(3 + 5i)(2 +6i) in the forma +ib.​

Answer 1

Answer:

-24+28i

Step-by-step explanation:

$(3+5i)(2+6i)\\(3*2)+(5*6)i^2 +((5*2)+(6*3))i \\=6-30+(10+18)i\\=-24+28i$

Answer 2

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

$\implies3(2 + 6i) + 5i(2 + 6i)$

$\implies \: 6 + 18i + 10i + 30 {i}^{2}$

$\because \: {i}^{2} = - 1$

$\implies \: 6 + 28i + 30( - 1)$

$\implies \: 6 + 28i - 30 \\ \implies \: - 24 + 28i$

a = -24

b = 28

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