erweitern 2xy^2(3xy-4x+8)^2+7x-10

Lösung

erweitern

2 x y^{2} (3 x y - 4 x + 8)^{2} + 7 x - 10

18 x^{3} y^{4} - 48 x^{3} y^{3} + 96 x^{2} y^{3} + 32 x^{3} y^{2} - 128 x^{2} y^{2} + 128 x y^{2} + 7 x - 10

Schritte zur Lösung

2 x y^{2} (3 x y - 4 x + 8)^{2} + 7 x - 10

(3 x y - 4 x + 8)^{2} = 9 x^{2} y^{2} - 24 x^{2} y + 48 x y + 16 x^{2} - 64 x + 64

= 2 x y^{2} (9 x^{2} y^{2} + 16 x^{2} - 24 x^{2} y + 48 x y - 64 x + 64) + 7 x - 10

Multipliziere aus

2 x y^{2} (9 x^{2} y^{2} - 24 x^{2} y + 48 x y + 16 x^{2} - 64 x + 64) : 18 x^{3} y^{4} - 48 x^{3} y^{3} + 96 x^{2} y^{3} + 32 x^{3} y^{2} - 128 x^{2} y^{2} + 128 x y^{2}

= 18 x^{3} y^{4} - 48 x^{3} y^{3} + 96 x^{2} y^{3} + 32 x^{3} y^{2} - 128 x^{2} y^{2} + 128 x y^{2} + 7 x - 10

e x p an d \frac{( - x + 15 ) ( - x + 5 )}{2}

e x p an d - 4 (x + h) - 1

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

e x p an d 4 a^{2} (a - b) (a + b) + b^{4}

e x p an d (x + y) (d + c + e)