erweitern ((1+2x)^2)/(((2-x)(3-3x)^2))

Lösung

erweitern

\frac{( 1 + 2 x ) ^{2}}{( ( 2 - x ) ( 3 - 3 x ) ^{2} )}

\frac{1 + 4 x + 4 x ^{2}}{- 9 x ^{3} + 36 x ^{2} - 45 x + 18}

Schritte zur Lösung

\frac{( 1 + 2 x ) ^{2}}{( 2 - x ) ( 3 - 3 x ) ^{2}}

(3 - 3 x)^{2} = 9 - 18 x + 9 x^{2}

= \frac{( 1 + 2 x ) ^{2}}{( - x + 2 ) ( 9 x ^{2} - 18 x + 9 )}

(1 + 2 x)^{2} = 1 + 4 x + 4 x^{2}

= \frac{1 + 4 x + 4 x ^{2}}{( - x + 2 ) ( 9 x ^{2} - 18 x + 9 )}

Multipliziere aus

(2 - x) (9 - 18 x + 9 x^{2}) : - 9 x^{3} + 36 x^{2} - 45 x + 18

= \frac{1 + 4 x + 4 x ^{2}}{- 9 x ^{3} + 36 x ^{2} - 45 x + 18}

e x p an d (ln (y - 2) + \frac{x - 3}{y - 2} = C) y - 2

\frac{d ^{2}}{d x ^{2}} ((y) (4 x^{3} - 7 x^{2} + 3 x - 9))

e x p an d (6, - 8, 3) y (- 4, - 1, - 3)

s im pl i f y (x + 2 + 3 x - 6)^{2}

s im pl i f y (z + \frac{1}{2}) \cdot (z - 1)