vereinfachen (8x^5+6x^3-2x^2+10x)-(9x^5-x^3-13x^2+4)

Lösung

vereinfachen

(8 x^{5} + 6 x^{3} - 2 x^{2} + 10 x) - (9 x^{5} - x^{3} - 13 x^{2} + 4)

- x^{5} + 7 x^{3} + 11 x^{2} + 10 x - 4

Schritte zur Lösung

(8 x^{5} + 6 x^{3} - 2 x^{2} + 10 x) - (9 x^{5} - x^{3} - 13 x^{2} + 4)

Apply rule:

(a) = a

(8 x^{5} + 6 x^{3} - 2 x^{2} + 10 x) = 8 x^{5} + 6 x^{3} - 2 x^{2} + 10 x

= 8 x^{5} + 6 x^{3} - 2 x^{2} + 10 x - (9 x^{5} - x^{3} - 13 x^{2} + 4)

Wende das Distributivgesetz an:

- (a - b) = - a + b

- (9 x^{5} - x^{3} - 13 x^{2} + 4) = - 9 x^{5} + x^{3} + 13 x^{2} - 4

= 8 x^{5} + 6 x^{3} - 2 x^{2} + 10 x - 9 x^{5} + x^{3} + 13 x^{2} - 4

Fasse gleiche Terme zusammen

= 8 x^{5} - 9 x^{5} + 6 x^{3} + x^{3} - 2 x^{2} + 13 x^{2} + 10 x - 4

Addiere gleiche Elemente:

8 x^{5} - 9 x^{5} = - x^{5}

= - x^{5} + 6 x^{3} + x^{3} - 2 x^{2} + 13 x^{2} + 10 x - 4

Addiere gleiche Elemente:

6 x^{3} + x^{3} = 7 x^{3}

= - x^{5} + 7 x^{3} - 2 x^{2} + 13 x^{2} + 10 x - 4

Addiere gleiche Elemente:

- 2 x^{2} + 13 x^{2} = 11 x^{2}

= - x^{5} + 7 x^{3} + 11 x^{2} + 10 x - 4

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

e x p an d f (x + 1)

\frac{1}{16}

e x p an d (x - 1) (3 x^{2} + 7 x + 5)

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