erweitern ((x^2+3x+5)^n+x^2(x+3)^2+3)/(x^2-3x+4)

Lösung

erweitern

\frac{( x ^{2} + 3 x + 5 ) ^{n} + x ^{2} ( x + 3 ) ^{2} + 3}{x ^{2} - 3 x + 4}

\frac{( x ^{2} + 3 x + 5 ) ^{n} + x ^{4} + 6 x ^{3} + 9 x ^{2} + 3}{x ^{2} - 3 x + 4}

Schritte zur Lösung

\frac{( x ^{2} + 3 x + 5 ) ^{n} + x ^{2} ( x + 3 ) ^{2} + 3}{x ^{2} - 3 x + 4}

(x + 3)^{2} = x^{2} + 6 x + 9

= \frac{( x ^{2} + 3 x + 5 ) ^{n} + x ^{2} ( x ^{2} + 6 x + 9 ) + 3}{x ^{2} - 3 x + 4}

Multipliziere aus

(x^{2} + 3 x + 5)^{n} + x^{2} (x^{2} + 6 x + 9) + 3 : (x^{2} + 3 x + 5)^{n} + x^{4} + 6 x^{3} + 9 x^{2} + 3

= \frac{( x ^{2} + 3 x + 5 ) ^{n} + x ^{4} + 6 x ^{3} + 9 x ^{2} + 3}{x ^{2} - 3 x + 4}

e x p an d - \frac{2 x y}{( x ^{2} + y ^{2} ) ^{2}}

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

e x p an d \frac{3 ( x + h ) + 4 - 3 x + 4}{h}

e x p an d f (+ 5, - 1)

e x p an d - e^{t} - (1 + x e^{x}) e^{x}