erweitern (1+x)(1+x^2)(1+x^4)(1+x^8)(1-x)

Lösung

erweitern

(1 + x) (1 + x^{2}) (1 + x^{4}) (1 + x^{8}) (1 - x)

1 - x^{16}

Schritte zur Lösung

(1 + x) (1 + x^{2}) (1 + x^{4}) (1 + x^{8}) (1 - x)

Schreibe

(1 + x) (1 + x^{2}) (1 + x^{4}) (1 + x^{8}) (1 - x)

um:

(1 - x^{2}) (1 + x^{2}) (1 + x^{4}) (1 + x^{8})

= (1 - x^{2}) (1 + x^{2}) (1 + x^{4}) (1 + x^{8})

Apply Difference of Two Squares

(1 - x^{2}) (1 + x^{2}) : 1 - x^{4}

= (1 - x^{4}) (1 + x^{4}) (1 + x^{8})

Apply Difference of Two Squares

(1 - x^{4}) (1 + x^{4}) : 1 - x^{8}

= (1 - x^{8}) (1 + x^{8})

Apply Difference of Two Squares

(1 - x^{8}) (1 + x^{8}) : 1 - x^{16}

= 1 - x^{16}

e x p an d (b + 1)^{3}

s im pl i f y - 1^{n}

f a c t or 16 m^{4} - 25 m^{2} \cdot n^{2} + 9 n^{4}

s im pl i f y 8 x^{3} + 3^{3}

s im pl i f y i^{2} + o^{3}