erweitern x/(((0.012-x)× (0.04-4x)^4))

Lösung

erweitern

\frac{x}{( ( 0.012 - x ) \cdot ( 0.04 - 4 x ) ^{4} )}

\frac{x}{- 256 x ^{5} + 13.312 x ^{4} - 0.27648 x ^{3} + 0.0028672 x ^{2} - 0.000014848 x + 3.072 E - 8}

Schritte zur Lösung

\frac{x}{( 0.012 - x ) ( 0.04 - 4 x ) ^{4}}

(0.04 - 4 x)^{4} = 0.00000256 - 0.001024 x + 0.1536 x^{2} - 10.24 x^{3} + 256 x^{4}

= \frac{x}{( - x + 0.012 ) ( 256 x ^{4} - 10.24 x ^{3} + 0.1536 x ^{2} - 0.001024 x + 0.00000256 )}

Multipliziere aus

(0.012 - x) (0.00000256 - 0.001024 x + 0.1536 x^{2} - 10.24 x^{3} + 256 x^{4}) : - 256 x^{5} + 13.312 x^{4} - 0.27648 x^{3} + 0.0028672 x^{2} - 0.000014848 x + 3.072 E - 8

= \frac{x}{- 256 x ^{5} + 13.312 x ^{4} - 0.27648 x ^{3} + 0.0028672 x ^{2} - 0.000014848 x + 3.072 E - 8}

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