erweitern (x+y=2,)(x^{(2)}+y^{(2)}=4)

Lösung

erweitern

(x + y = 2,) (x^{(2)} + y^{(2)} = 4)

x^{3} + x y^{2} = 4

Schritte zur Lösung

(x + y = 2,) (x^{(2)} + y^{(2)} = 4)

= (x + 2 =, y) (x^{(2)} + 4 = y^{(2)})

Wende Ausklammerungsregel an (VANI):

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

a = x, b = y = 2,, c = x^{(2)}, d = y^{(2)} = 4

x x^{(2)} + x y^{(2)} = 4 + y = 2, x^{(2)} + y = 2, y^{(2)} = 4

x^{(2)} x + x y^{(2)} = 4 + y = 2, x^{(2)} + y = 2, y^{(2)} = 4

Multipliziere aus

x^{(2)} x + x y^{(2)} : x^{3} + x y^{2}

x^{3} + x y^{2} = 4

e x p an d - e^{t} \cdot (2 e^{t} + 8 t e^{t})

e x p an d x y d y (y + 1) (1 - x) d x

e x p an d y (2 x^{2} - x y + y^{2}) d x

e x p an d \frac{1}{2 ( 4 x - 10 ) ( 2 x + 3 )}

e x p an d (2, 1, - 1) \cdot (1, x, 0)