vereinfachen (12(\frac{a^2)/(b^2))+a}{b-20}

Lösung

vereinfachen

\frac{12 ( \frac{a ^{2}}{b ^{2}} ) + a}{b - 20}

\frac{a b ^{2} + 12 a ^{2}}{b ^{2} ( b - 20 )}

Schritte zur Lösung

\frac{12 ( \frac{a ^{2}}{b ^{2}} ) + a}{b - 20}

Apply rule:

(a) = a

(\frac{a ^{2}}{b ^{2}}) = \frac{a ^{2}}{b ^{2}}

= \frac{12 \cdot \frac{a ^{2}}{b ^{2}} + a}{b - 20}

Vereinfache

12 \cdot \frac{a ^{2}}{b ^{2}} + a : \frac{a b ^{2} + 12 a ^{2}}{b ^{2}}

= \frac{\frac{a b ^{2} + 12 a ^{2}}{b ^{2}}}{b - 20}

Wende Bruchregel an:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{a b ^{2} + 12 a ^{2}}{b ^{2} ( b - 20 )}

e x p an d (2 w - 1)^{3}

f a c t or x^{3} - 3 x^{2} + 3 x - 9

f (x) = \frac{( x )}{( 1 + x ^{\frac{1}{4}} )}

s im pl i f y 14 \frac{x}{x} + 19 x - \frac{30}{x} - 4

s im pl i f y - 5 x^{3}