erweitern x^2a+(1-x)^24adx

Lösung

erweitern

x^{2} a + (1 - x)^{2} 4 a d x

a x^{2} + 4 a d x - 8 a x d x + 4 a x^{2} d x

Schritte zur Lösung

x^{2} a + (1 - x)^{2} \cdot 4 a d x

(1 - x)^{2} = 1 - 2 x + x^{2}

= a x^{2} + 4 a (x^{2} - 2 x + 1) d x

= a x^{2} + 4 a (1 - 2 x + x^{2}) d x

Multipliziere aus

4 a d x (1 - 2 x + x^{2}) : 4 a d x - 8 a x d x + 4 a x^{2} d x

= x^{2} a + 4 a d x - 8 a x d x + 4 a x^{2} d x

e x p an d \frac{2 x ^{2} - 7 x + 3}{( x + 1 ) ( x - 1 )}

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

e x p an d A (31, 6) B (- 31, - 2)

s im pl i f y 2 + 3 - (1 + 2) in

e x p an d \frac{- s - 1}{( s - 1 ) ( s + 2 )}