展开 (x+iy)^2-3(x+iy)

解答

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(x + i y)^{2} - 3 (x + i y)

(x^{2} - y^{2} - 3 x) + (2 x y - 3 y) i

求解步骤

(x + i y)^{2} - 3 (x + i y)

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(x + i y)^{2} : x^{2} + 2 x y i - y^{2}

= x^{2} + 2 x y i - y^{2} - 3 (x + i y)

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- 3 (x + i y) : - 3 x - 3 y i

= x^{2} + 2 x y i - y^{2} - 3 x - 3 y i

Rewrite in standard complex form:

(x^{2} - y^{2} - 3 x) + (2 x y - 3 y) i

= (x^{2} - y^{2} - 3 x) + (2 x y - 3 y) i

e x p an d e^{t} (e^{t} + t e^{t})

e x p an d \frac{2 x ^{2} + 9 x - 5}{( x - 1 ) ( x + 2 ) ( x - 3 )}

s im pl i f y 3 (6 - 3)

s im pl i f y 3 (6 - 2)

e x p an d y (x^{3} - y) d x