erweitern (12p^2+24p+36)/((p-3)(p+3)^2)

Lösung

erweitern

\frac{12 p ^{2} + 24 p + 36}{( p - 3 ) ( p + 3 ) ^{2}}

\frac{12 p ^{2} + 24 p + 36}{p ^{3} + 3 p ^{2} - 9 p - 27}

Schritte zur Lösung

\frac{12 p ^{2} + 24 p + 36}{( p - 3 ) ( p + 3 ) ^{2}}

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

= \frac{12 p ^{2} + 24 p + 36}{( p - 3 ) ( p ^{2} + 6 p + 9 )}

Multipliziere aus

(p - 3) (p^{2} + 6 p + 9) : p^{3} + 3 p^{2} - 9 p - 27

= \frac{12 p ^{2} + 24 p + 36}{p ^{3} + 3 p ^{2} - 9 p - 27}

e x p an d \frac{2}{x - 3} + \frac{3}{x + 2} - \frac{4 x - 7}{x ^{2} - x - 6}

e x p an d \frac{90 s ^{4} + 2430 - 270 s ^{2}}{( s ^{2} + 9 ) ^{4}}

e x p an d (4 x y^{2} - 9 y) d y

e x p an d a (16, - 17, 0, 0) + b (1, - 1, 16, 17) + c (0, 0, - 1, - 1)

e x p an d \frac{s ^{2} + 400 \cdot s + 31000}{5 \cdot ( s + 200 ) ^{2}}