Introduction to Complex Numbers (Edexcel A-Level Further Mathematics): Flashcards

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Introduction to Complex Numbers
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Form of a complex number

z=a+biz = a + bi

Value of i2i^2

−1-1

Real part of z=a+biz = a + bi

aa

Imaginary part of z=a+biz = a + bi

bb

How to add complex numbers

Add real and imaginary parts separately

How to subtract complex numbers

Subtract real and imaginary parts separately

How to multiply complex numbers

Use distributive property and i2=−1i^2 = -1

How to divide complex numbers

Multiply by conjugate of denominator

Conjugate of a+bia + bi

a−bia - bi

(a+bi)(c+di)(a+bi)(c+di) simplified

(ac−bd)+(ad+bc)i(ac - bd) + (ad + bc)i

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