vereinfachen (4a^2-b^2-2a+b)/((2a+b)^2-1)

Lösung

vereinfachen

\frac{4 a ^{2} - b ^{2} - 2 a + b}{( 2 a + b ) ^{2} - 1}

\frac{2 a - b}{2 a + b + 1}

Schritte zur Lösung

\frac{4 a ^{2} - b ^{2} - 2 a + b}{( 2 a + b ) ^{2} - 1}

Faktorisiere

4 a^{2} - b^{2} - 2 a + b : (2 a - b) (2 a + b - 1)

= \frac{( 2 a - b ) ( 2 a + b - 1 )}{( 2 a + b ) ^{2} - 1}

Faktorisiere

(2 a + b)^{2} - 1 : (2 a + b + 1) (2 a + b - 1)

= \frac{( 2 a - b ) ( 2 a + b - 1 )}{( 2 a + b + 1 ) ( 2 a + b - 1 )}

Streiche die gemeinsamen Faktoren:

2 a + b - 1

= \frac{2 a - b}{2 a + b + 1}

e x p an d (1 - w - w^{2})^{5}

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

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

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

e x p an d 3 x (x = - 1)