erweitern (8800-y-z)^5

Lösung

erweitern

(8800 - y - z)^{5}

- y^{5} - 5 y^{4} z + 44000 y^{4} - 10 y^{3} z^{2} + 176000 y^{3} z - 774400000 y^{3} - 10 y^{2} z^{3} + 264000 y^{2} z^{2} - 2323200000 y^{2} z + 6814720000000 y^{2} - 5 y z^{4} + 176000 y z^{3} - 2323200000 y z^{2} + 1.36294 E 13 yz - 2.99848 E 16 y - z^{5} + 44000 z^{4} - 774400000 z^{3} + 6814720000000 z^{2} - 2.99848 E 16 z + 5.27732 E 19

Schritte zur Lösung

(8800 - y - z)^{5}

(8800 - y - z)^{5} = (8800 - y - z) (8800 - y - z) (8800 - y - z) (8800 - y - z) (8800 - y - z)

= (8800 - y - z) (8800 - y - z) (8800 - y - z) (8800 - y - z) (8800 - y - z)

Multipliziere aus

(8800 - y - z) (8800 - y - z) (8800 - y - z) (8800 - y - z) (8800 - y - z) : - y^{5} - 5 y^{4} z + 44000 y^{4} - 10 y^{3} z^{2} + 176000 y^{3} z - 774400000 y^{3} - 10 y^{2} z^{3} + 264000 y^{2} z^{2} - 2323200000 y^{2} z + 6814720000000 y^{2} - 5 y z^{4} + 176000 y z^{3} - 2323200000 y z^{2} + 1.36294 E 13 yz - 2.99848 E 16 y - z^{5} + 44000 z^{4} - 774400000 z^{3} + 6814720000000 z^{2} - 2.99848 E 16 z + 5.27732 E 19

= - y^{5} - 5 y^{4} z + 44000 y^{4} - 10 y^{3} z^{2} + 176000 y^{3} z - 774400000 y^{3} - 10 y^{2} z^{3} + 264000 y^{2} z^{2} - 2323200000 y^{2} z + 6814720000000 y^{2} - 5 y z^{4} + 176000 y z^{3} - 2323200000 y z^{2} + 1.36294 E 13 yz - 2.99848 E 16 y - z^{5} + 44000 z^{4} - 774400000 z^{3} + 6814720000000 z^{2} - 2.99848 E 16 z + 5.27732 E 19

e x p an d (4 - 16 x)^{\frac{1}{2}}

e x p an d \frac{( x + a ) ^{2}}{( x ^{2} + 3 )}

e x p an d 3 [(x^{3} - 7 x + 1) (x + 4)]

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

e x p an d \frac{x}{( 18 x + 19 ) ( x - 17 )}