erweitern (3x+2y=7,8)(3x+2y=92)

Lösung

erweitern

(3 x + 2 y = 7, 8) (3 x + 2 y = 92)

9 x^{2} + 6 x y = 92

Schritte zur Lösung

(3 x + 2 y = 7, 8) (3 x + 2 y = 92)

= (3 x + 2 \cdot 7 \cdot 8 =, y) (3 x + 2 \cdot 92 = y)

Wende Ausklammerungsregel an (VANI):

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

a = 3 x, b = 2 y = 7, 8, c = 3 x, d = 2 y = 92

3 x \cdot 3 x + 3 x \cdot 2 y = 92 + 2 y = 7, 8 \cdot 3 x + 2 y = 7, 8 \cdot 2 y = 92

3 \cdot 3 xx + 3 \cdot 2 x y = 92 + 2 y = 7, 8 \cdot 3 x + 2 y = 7, 8 \cdot 2 y = 92

Multipliziere aus

3 \cdot 3 xx + 3 \cdot 2 x y : 9 x^{2} + 6 x y

9 x^{2} + 6 x y = 92

e x p an d [\frac{4 s}{( x ^{2} + 4 ) ( 6 s + 3 )}]

e x p an d u^{1} (u^{2} v^{3}, - u^{3} v^{2})

e x p an d 2 (x + 2 = 6)

e x p an d - 4 y (52 + 27)

e x p an d 4 + c