What is expand (i,1+2i)*(1,1-2i) ?

The solution to expand (i,1+2i)*(1,1-2i) is i,1*1,1-i,1*2i+2*1i,1-2*2ii

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expand (i,1+2i)*(1,1-2i)

expand

(i, 1 + 2 i) \cdot (1, 1 - 2 i)

i, 1 \cdot 1, 1 - i, 1 \cdot 2 i + 2 \cdot 1 i, 1 - 2 \cdot 2 ii

Solution steps

(i, 1 + 2 i) (1, 1 - 2 i)

= (1 i, + 2 i) (1 \cdot 1, - 2 i)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = i, 1, b = 2 i, c = 1, 1, d = - 2 i

= i, 1 \cdot 1, 1 + i, 1 \cdot (- 2 i) + 2 i 1, 1 + 2 i (- 2 i)

Apply minus-plus rules

+ (- a) = - a

= i, 1 \cdot 1, 1 - i, 1 \cdot 2 i + 2 \cdot 1 i, 1 - 2 \cdot 2 ii

(x + y = 400) (- 200)

(x + (Δ x))^{2}

(d^{2} + e) (d^{2} - e)

\frac{2 t}{( t + 0.5 ) ^{2}} + 0.5

x d y + (y - 4 x^{2}) d x

What is expand (i,1+2i)*(1,1-2i) ?
The solution to expand (i,1+2i)*(1,1-2i) is i,1*1,1-i,1*2i+2*1i,1-2*2ii