erweitern (x^2+9x+24)/((x+4)^2(x+3))

Lösung

erweitern

\frac{x ^{2} + 9 x + 24}{( x + 4 ) ^{2} ( x + 3 )}

\frac{x ^{2} + 9 x + 24}{x ^{3} + 11 x ^{2} + 40 x + 48}

Schritte zur Lösung

\frac{x ^{2} + 9 x + 24}{( x + 4 ) ^{2} ( x + 3 )}

(x + 4)^{2} = x^{2} + 8 x + 16

= \frac{x ^{2} + 9 x + 24}{( x ^{2} + 8 x + 16 ) ( x + 3 )}

Multipliziere aus

(x^{2} + 8 x + 16) (x + 3) : x^{3} + 11 x^{2} + 40 x + 48

= \frac{x ^{2} + 9 x + 24}{x ^{3} + 11 x ^{2} + 40 x + 48}

e x p an d (1 + sin (x)) sin (x)

e x p an d \frac{x ^{2} + ( x ^{2} + 4 ) 3 x - 1}{x ^{2} + 4}

e x p an d (- 4 r^{4} cos (θ) - 4 r sin (θ) + r)^{2}

e x p an d (e^{15 x} + e^{- 15 x})^{2}

e x p an d \frac{a + 8}{( a - 2 ) ( a - 9 )}