erweitern ((x-8)(x+6)(x+7))/(4x(x-4)^2)

Lösung

erweitern

\frac{( x - 8 ) ( x + 6 ) ( x + 7 )}{4 x ( x - 4 ) ^{2}}

\frac{x ^{3} + 5 x ^{2} - 62 x - 336}{4 x ^{3} - 32 x ^{2} + 64 x}

Schritte zur Lösung

\frac{( x - 8 ) ( x + 6 ) ( x + 7 )}{4 x ( x - 4 ) ^{2}}

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

= \frac{( x - 8 ) ( x + 6 ) ( x + 7 )}{4 x ( x ^{2} - 8 x + 16 )}

Multipliziere aus

4 x (x^{2} - 8 x + 16) : 4 x^{3} - 32 x^{2} + 64 x

= \frac{( x - 8 ) ( x + 6 ) ( x + 7 )}{4 x ^{3} - 32 x ^{2} + 64 x}

Multipliziere aus

(x - 8) (x + 6) (x + 7) : x^{3} + 5 x^{2} - 62 x - 336

= \frac{x ^{3} + 5 x ^{2} - 62 x - 336}{4 x ^{3} - 32 x ^{2} + 64 x}

e x p an d \frac{( 3 n + 1 ) ( 3 n + 2 )}{( 3 n + 4 ) ( 3 n + 5 )}

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

e x p an d \frac{4 ( x + 1 )}{( 4 x + 5 )}

e x p an d \frac{1}{2 ( - 23 x ^{3} + 92 )}

e x p an d 6 x^{5} (2 x^{2} + 9 x - 6)^{2}