Respuesta :

CPED

Answer:

(4+6i)(7-5i)  = 58 + 22i

Step-by-step explanation:

Given that:

=(4+6i)(7-5i)

We can write it as follows:

=4(7-5i)+6i(7-5i)

=28-20i + 42i - 30i^2

As i^2 = -1 So:

= 28 + 22i - 30(-1)

= 28 +22i +30

= 58 + 22i

I hope it will help you!

gmany

Answer:

58 + 22i

Step-by-step explanation:

We know:

[tex]\sqrt{-1}=i\to i^2=-1[/tex]

[tex](4+6i)(7-5i)[/tex]         use FOIL: (a + b)(c + d) = ac + ad + bc + bd

[tex]=(4)(7)+(4)(-5i)+(6i)(7)+(6i)(-5i)\\\\=28-20i+42i-30i^2\\\\=28-20i+42i-30(-1)[/tex]

[tex]=28-20i+42i+30[/tex]            combine like terms

[tex]=(28+30)+(-20i+42i)\\\\=58+22i[/tex]

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