erweitern x(x^2+3x+2)^2

Lösung

erweitern

x (x^{2} + 3 x + 2)^{2}

x^{5} + 6 x^{4} + 13 x^{3} + 12 x^{2} + 4 x

Schritte zur Lösung

x (x^{2} + 3 x + 2)^{2}

(x^{2} + 3 x + 2)^{2} = x^{4} + 6 x^{3} + 13 x^{2} + 12 x + 4

= x (x^{4} + 6 x^{3} + 13 x^{2} + 12 x + 4)

Setze Klammern

= x x^{4} + x \cdot 6 x^{3} + x \cdot 13 x^{2} + x \cdot 12 x + x \cdot 4

= x^{4} x + 6 x^{3} x + 13 x^{2} x + 12 xx + 4 x

Vereinfache

x^{4} x + 6 x^{3} x + 13 x^{2} x + 12 xx + 4 x : x^{5} + 6 x^{4} + 13 x^{3} + 12 x^{2} + 4 x

= x^{5} + 6 x^{4} + 13 x^{3} + 12 x^{2} + 4 x

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

e x p an d π (2 + ln (2 - 1))

e x p an d \frac{s ^{3} + 25 s + 2 s ^{2} + 55}{( s ^{2} + 2 s + 2 ) ( s ^{2} + 25 )}

e x p an d \frac{x ^{2} - 3}{x ^{2}}

e x p an d (2 x^{3} - x y^{2}) d x