erweitern ((0.48+2x)^2)/((0.6-x)(0.76-3x)^3)

Lösung

erweitern

\frac{( 0.48 + 2 x ) ^{2}}{( 0.6 - x ) ( 0.76 - 3 x ) ^{3}}

\frac{0.2304 + 1.92 x + 4 x ^{2}}{27 x ^{4} - 36.72 x ^{3} + 17.5104 x ^{2} - 3.558016 x + 0.2633856}

Schritte zur Lösung

\frac{( 0.48 + 2 x ) ^{2}}{( 0.6 - x ) ( 0.76 - 3 x ) ^{3}}

(0.76 - 3 x)^{3} = 0.438976 - 5.1984 x + 20.52 x^{2} - 27 x^{3}

= \frac{( 0.48 + 2 x ) ^{2}}{( - x + 0.6 ) ( - 27 x ^{3} + 20.52 x ^{2} - 5.1984 x + 0.438976 )}

(0.48 + 2 x)^{2} = 0.2304 + 1.92 x + 4 x^{2}

= \frac{0.2304 + 1.92 x + 4 x ^{2}}{( - x + 0.6 ) ( - 27 x ^{3} + 20.52 x ^{2} - 5.1984 x + 0.438976 )}

Multipliziere aus

(0.6 - x) (0.438976 - 5.1984 x + 20.52 x^{2} - 27 x^{3}) : 27 x^{4} - 36.72 x^{3} + 17.5104 x^{2} - 3.558016 x + 0.2633856

= \frac{0.2304 + 1.92 x + 4 x ^{2}}{27 x ^{4} - 36.72 x ^{3} + 17.5104 x ^{2} - 3.558016 x + 0.2633856}

e x p an d 5 (6 x - 18 y = - 85)

e x p an d (25 - 2)^{4}

s im pl i f y 4 \cdot (x^{2} + 5)

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

e x p an d e^{t - 4} \cdot h (t - 4)