erweitern ((0.2R^2-8R+8))/(5R^2(R-2)^2)

Lösung

erweitern

\frac{( 0.2 R ^{2} - 8 R + 8 )}{5 R ^{2} ( R - 2 ) ^{2}}

\frac{0.2 R ^{2} - 8 R + 8}{5 R ^{4} - 20 R ^{3} + 20 R ^{2}}

Schritte zur Lösung

\frac{0.2 R ^{2} - 8 R + 8}{5 R ^{2} ( R - 2 ) ^{2}}

(R - 2)^{2} = R^{2} - 4 R + 4

= \frac{0.2 R ^{2} - 8 R + 8}{5 R ^{2} ( R ^{2} - 4 R + 4 )}

Multipliziere aus

5 R^{2} (R^{2} - 4 R + 4) : 5 R^{4} - 20 R^{3} + 20 R^{2}

= \frac{0.2 R ^{2} - 8 R + 8}{5 R ^{4} - 20 R ^{3} + 20 R ^{2}}

e x p an d \frac{9 \cdot x + 6}{( x + 3 ) \cdot x \cdot ( x - 4 )}

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

e x p an d \frac{3 x ^{2} - 4 x + 5}{( x - 1 ) ( x ^{2} + 2 x + 1 )}

e x p an d (x + 1) (x + 1)!

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