erweitern (x^2+y+1)*sqrt(1+16x^6)

Lösung

erweitern

(x^{2} + y + 1) \cdot 1 + 16 x^{6}

x^{2} 1 + 16 x^{6} + y 1 + 16 x^{6} + 1 + 16 x^{6}

Schritte zur Lösung

(x^{2} + y + 1) 1 + 16 x^{6}

= 1 + 16 x^{6} (x^{2} + y + 1)

Wende das Distributivgesetz an:

m (a + b + c) = ma + mb + m c

1 + 16 x^{6} (x^{2} + y + 1) = 1 + 16 x^{6} x^{2} + 1 + 16 x^{6} y + 1 + 16 x^{6} \cdot 1

= 1 + 16 x^{6} x^{2} + 1 + 16 x^{6} y + 1 + 16 x^{6} \cdot 1

Vereinfache

1 + 16 x^{6} x^{2} + 1 + 16 x^{6} y + 1 + 16 x^{6} \cdot 1 : x^{2} 1 + 16 x^{6} + y 1 + 16 x^{6} + 1 + 16 x^{6}

= x^{2} 1 + 16 x^{6} + y 1 + 16 x^{6} + 1 + 16 x^{6}

e x p an d (0.5 s + 1) (4.04 s^{'} + 1) (0.3 s + 1)

e x p an d (x + 3)^{3}

e x p an d (- G^{1} H^{1}) (- G^{3} H^{2})

e x p an d \frac{1}{3} (n^{3} + 3 n^{2} + 5 n + 3)

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