Issolvi frac{x^{2}}{14x^{3}+21x^2y^frac{0{y}}}x^3/6x^2+9xy=

$$\frac { x ^ { 2 } } { 14 x ^ { 3 } + 21 x ^ { 2 } y ^ { \frac { 0 } { y } } } \frac { x ^ { 3 } } { 6 x ^ { 2 } + 9 x y } =$$

Evalwa

$$\frac{x^{2}}{21\left(2x+3\right)\left(2x+3y\right)}$$

Passi Qosra tas-Soluzzjonijiet

Żero diviż minn kwalunkwe numru li mhux żero jirriżulta f'żero.

$$\frac{x^{2}}{14x^{3}+21x^{2}y^{0}}\times \frac{x^{3}}{6x^{2}+9xy}$$

Ikkalkula y bil-power ta' 0 u tikseb 1.

$$\frac{x^{2}}{14x^{3}+21x^{2}\times 1}\times \frac{x^{3}}{6x^{2}+9xy}$$

Immultiplika 21 u 1 biex tikseb 21.

$$\frac{x^{2}}{14x^{3}+21x^{2}}\times \frac{x^{3}}{6x^{2}+9xy}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{x^{2}}{14x^{3}+21x^{2}}.

$$\frac{x^{2}}{7\left(2x+3\right)x^{2}}\times \frac{x^{3}}{6x^{2}+9xy}$$

Annulla x^{2} fin-numeratur u d-denominatur.

$$\frac{1}{7\left(2x+3\right)}\times \frac{x^{3}}{6x^{2}+9xy}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{x^{3}}{6x^{2}+9xy}.

$$\frac{1}{7\left(2x+3\right)}\times \frac{x^{3}}{3x\left(2x+3y\right)}$$

Annulla x fin-numeratur u d-denominatur.

$$\frac{1}{7\left(2x+3\right)}\times \frac{x^{2}}{3\left(2x+3y\right)}$$

Immultiplika \frac{1}{7\left(2x+3\right)} b'\frac{x^{2}}{3\left(2x+3y\right)} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{x^{2}}{7\left(2x+3\right)\times 3\left(2x+3y\right)}$$

Immultiplika 7 u 3 biex tikseb 21.

$$\frac{x^{2}}{21\left(2x+3\right)\left(2x+3y\right)}$$

Uża l-propjetà distributtiva biex timmultiplika 21 b'2x+3.

$$\frac{x^{2}}{\left(42x+63\right)\left(2x+3y\right)}$$

Uża l-propjetà distributtiva biex timmultiplika 42x+63 b'2x+3y.

$$\frac{x^{2}}{84x^{2}+126xy+126x+189y}$$

Iddifferenzja w.r.t. x

$$\frac{2x\left(xy+x+3y\right)}{7\left(\left(2x+3\right)\left(2x+3y\right)\right)^{2}}$$