erweitern x^{(a-b)(a+b)(b-c)(b+c)(c-a)*(c+a)}

Lösung

erweitern

x^{(a - b) \cdot (a + b) \cdot (b - c) \cdot (b + c) \cdot (c - a) \cdot (c + a)}

x^{a^{2} b^{4} - a^{4} b^{2} - a^{2} c^{4} + a^{4} c^{2} - b^{4} c^{2} + b^{2} c^{4}}

Schritte zur Lösung

x^{(a - b) (a + b) (b - c) (b + c) (c - a) (c + a)}

Multipliziere aus

(a - b) (a + b) (b - c) (b + c) (c - a) (c + a) : a^{2} b^{4} - a^{4} b^{2} - a^{2} c^{4} + a^{4} c^{2} - b^{4} c^{2} + b^{2} c^{4}

= x^{a^{2} b^{4} - a^{4} b^{2} - a^{2} c^{4} + a^{4} c^{2} - b^{4} c^{2} + b^{2} c^{4}}

e x p an d \frac{( x + 4 ) ( 81 + 6 x )}{x}

e x p an d \frac{6 x + 8}{x ( x + 4 )}

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

e x p an d (a^{n + 1})^{2}

e x p an d ln (3) e^{x} (x - 1)