solvefor f,f=(x-5)^3(y+2)^2+1

Lösung

löse nach

f, f = (x - 5)^{3} (y + 2)^{2} + 1

f = x^{3} y^{2} + 4 x^{3} y + 4 x^{3} - 15 x^{2} y^{2} - 60 x^{2} y - 60 x^{2} + 75 x y^{2} + 300 x y + 300 x - 125 y^{2} - 500 y - 499

Schritte zur Lösung

f = (x - 5)^{3} (y + 2)^{2} + 1

Vereinfache

(x - 5)^{3} (y + 2)^{2} + 1 : x^{3} y^{2} + 4 x^{3} y + 4 x^{3} - 15 x^{2} y^{2} - 60 x^{2} y - 60 x^{2} + 75 x y^{2} + 300 x y + 300 x - 125 y^{2} - 500 y - 499

f = x^{3} y^{2} + 4 x^{3} y + 4 x^{3} - 15 x^{2} y^{2} - 60 x^{2} y - 60 x^{2} + 75 x y^{2} + 300 x y + 300 x - 125 y^{2} - 500 y - 499

2 (- 5) + 5 (- 3) = - 6

so l v e f or f, y = f - 5

3 (3 x - 5) = 12

13 x = 39

so l v e f or x, y^{4} - y^{2} = 10 x - 3