vereinfachen 0t+2(5+x)-(8+x)*(z+x)^2

Lösung

vereinfachen

0 t + 2 (5 + x) - (8 + x) \cdot (z + x)^{2}

10 + 2 x - 8 z^{2} - x z^{2} - 16 x z - 2 x^{2} z - 8 x^{2} - x^{3}

Schritte zur Lösung

0 \cdot t + 2 (5 + x) - (8 + x) (z + x)^{2}

Apply rule:

a \cdot 0 = 0

0 \cdot t = 0

= 0 + 2 (5 + x) - (8 + x) (z + x)^{2}

= 0 + 2 (5 + x) - (z + x)^{2} (8 + x)

Schreibe

2 (5 + x)

um:

10 + 2 x

= 0 + 10 + 2 x - (z + x)^{2} (8 + x)

Schreibe

- (z + x)^{2} (8 + x)

um:

- 8 z^{2} - x z^{2} - 16 x z - 2 x^{2} z - 8 x^{2} - x^{3}

= 0 + 10 + 2 x - 8 z^{2} - x z^{2} - 16 x z - 2 x^{2} z - 8 x^{2} - x^{3}

Addiere die Zahlen:

0 + 10 = 10

= 10 + 2 x - 8 z^{2} - x z^{2} - 16 x z - 2 x^{2} z - 8 x^{2} - x^{3}

s im pl i f y (2 x + 1)^{2} + (3 x - 1)^{2} + 2 (2 x + 1) (3 x - 1)

s im pl i f y (\frac{a}{4} - \frac{b}{2} + 1)^{2}

e x p an d (1 - x + x^{2})^{4}

s im pl i f y 2 \frac{x ^{43}}{2}

f a c t or x^{4} - 125 x \cdot y^{3}