erweitern 2(16+1/5 x)^2-(20+1/4 x)^2

Lösung

erweitern

2 (16 + \frac{1}{5} x)^{2} - (20 + \frac{1}{4} x)^{2}

\frac{2 ( 6400 + 160 x + x ^{2} )}{25} - \frac{6400 + 160 x + x ^{2}}{16}

Schritte zur Lösung

2 (16 + \frac{1}{5} x)^{2} - (20 + \frac{1}{4} x)^{2}

Schreibe

2 (16 + \frac{1}{5} x)^{2}

um:

2 \cdot \frac{6400 + 160 x + x ^{2}}{25}

= 2 \cdot \frac{6400 + 160 x + x ^{2}}{25} - (20 + \frac{1}{4} x)^{2}

Schreibe

- (20 + \frac{1}{4} x)^{2}

um:

- \frac{6400 + 160 x + x ^{2}}{16}

= 2 \cdot \frac{6400 + 160 x + x ^{2}}{25} - \frac{6400 + 160 x + x ^{2}}{16}

Vereinfache

2 \cdot \frac{6400 + 160 x + x ^{2}}{25} : \frac{2 ( 6400 + 160 x + x ^{2} )}{25}

= \frac{2 ( 6400 + 160 x + x ^{2} )}{25} - \frac{6400 + 160 x + x ^{2}}{16}

e x p an d \frac{2 ( x ^{3} - 2 )}{( x - 3 ) ( x ^{2} + 3 x + 9 )}

e x p an d (3 - sin (x))^{2}

e x p an d \frac{- 1 - 1 - 4 ( - π - 4 πn )}{2}

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

e x p an d (8 x + 7) (- e^{- x})