erweitern x^6left(x^2+4x)

Lösung

erweitern

x^{6} l e f t (x^{2} + 4 x)

e l x^{8} f t + 4 e l x^{7} f t

Schritte zur Lösung

x^{6} l e f t (x^{2} + 4 x)

= e l x^{6} f t (x^{2} + 4 x)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = x^{6} l e f t, b = x^{2}, c = 4 x

= x^{6} l e f t x^{2} + x^{6} l e f t \cdot 4 x

= e l x^{6} x^{2} f t + 4 e l x^{6} x f t

Vereinfache

e l x^{6} x^{2} f t + 4 e l x^{6} x f t : e l x^{8} f t + 4 e l x^{7} f t

= e l x^{8} f t + 4 e l x^{7} f t

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

s im pl i f y 1 + x (1 + x + 1 - x)

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

e x p an d (2 A x + B) e^{x} + e^{x} (A x^{2} + B x + C)

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