Question

Express (1+i)^3/(4+3i) in the form of x + iy.​

Answer 1

Step-by-step explanation:

ANSWER

(3+4i)

(2−3i)

Multiplying both numerator and denominator by the Complex conjugate of the denominator

Therefore,

(3+4i)

(2−3i)

=

3+4i

2−3i

×

3−4i

3−4i

=

(3)

2

−(4i)

2

(2−3i)(3−4i)

=

9+16

(6+12i

2

)−(9+8)i

=

25

−6−17i

=

25

−6

+

25

−17

i

Here, A=

25

−6

and B=

25

−17

Answer 2

Answer:

(1+i) ³/ 4+3i

= 1+3i-3-i/4+3i

= -2+2i/4+3i

=-14+2i/16+9

=-14+2i/25

=-14/25+i(2/25)

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