Issolvi 9m^2-1/3m^2-6mn+9m^2-6m+1/6m-12n

$$\frac { 9 m ^ { 2 } - 1 } { 3 m ^ { 2 } - 6 m n } + \frac { 9 m ^ { 2 } - 6 m + 1 } { 6 m - 12 n }$$

Evalwa

$$\frac{\left(3m-1\right)\left(m+1\right)\left(3m+2\right)}{6m\left(m-2n\right)}$$

Passi Qosra tas-Soluzzjonijiet

Iffattura 3m^{2}-6mn. Iffattura 6m-12n.

$$\frac{9m^{2}-1}{3m\left(m-2n\right)}+\frac{9m^{2}-6m+1}{6\left(m-2n\right)}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 3m\left(m-2n\right) u 6\left(m-2n\right) huwa 6m\left(m-2n\right). Immultiplika \frac{9m^{2}-1}{3m\left(m-2n\right)} b'\frac{2}{2}. Immultiplika \frac{9m^{2}-6m+1}{6\left(m-2n\right)} b'\frac{m}{m}.

$$\frac{2\left(9m^{2}-1\right)}{6m\left(m-2n\right)}+\frac{\left(9m^{2}-6m+1\right)m}{6m\left(m-2n\right)}$$

Billi \frac{2\left(9m^{2}-1\right)}{6m\left(m-2n\right)} u \frac{\left(9m^{2}-6m+1\right)m}{6m\left(m-2n\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{2\left(9m^{2}-1\right)+\left(9m^{2}-6m+1\right)m}{6m\left(m-2n\right)}$$

Agħmel il-multiplikazzjonijiet fi 2\left(9m^{2}-1\right)+\left(9m^{2}-6m+1\right)m.

$$\frac{18m^{2}-2+9m^{3}-6m^{2}+m}{6m\left(m-2n\right)}$$

Ikkombina termini simili f'18m^{2}-2+9m^{3}-6m^{2}+m.

$$\frac{12m^{2}-2+9m^{3}+m}{6m\left(m-2n\right)}$$

Espandi 6m\left(m-2n\right).

$$\frac{12m^{2}-2+9m^{3}+m}{6m^{2}-12mn}$$

Espandi

$$-\frac{9m^{3}+12m^{2}+m-2}{6m\left(2n-m\right)}$$

Passi Qosra tas-Soluzzjonijiet

Iffattura 3m^{2}-6mn. Iffattura 6m-12n.

$$\frac{9m^{2}-1}{3m\left(m-2n\right)}+\frac{9m^{2}-6m+1}{6\left(m-2n\right)}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 3m\left(m-2n\right) u 6\left(m-2n\right) huwa 6m\left(m-2n\right). Immultiplika \frac{9m^{2}-1}{3m\left(m-2n\right)} b'\frac{2}{2}. Immultiplika \frac{9m^{2}-6m+1}{6\left(m-2n\right)} b'\frac{m}{m}.

$$\frac{2\left(9m^{2}-1\right)}{6m\left(m-2n\right)}+\frac{\left(9m^{2}-6m+1\right)m}{6m\left(m-2n\right)}$$

Billi \frac{2\left(9m^{2}-1\right)}{6m\left(m-2n\right)} u \frac{\left(9m^{2}-6m+1\right)m}{6m\left(m-2n\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{2\left(9m^{2}-1\right)+\left(9m^{2}-6m+1\right)m}{6m\left(m-2n\right)}$$

Agħmel il-multiplikazzjonijiet fi 2\left(9m^{2}-1\right)+\left(9m^{2}-6m+1\right)m.

$$\frac{18m^{2}-2+9m^{3}-6m^{2}+m}{6m\left(m-2n\right)}$$

Ikkombina termini simili f'18m^{2}-2+9m^{3}-6m^{2}+m.

$$\frac{12m^{2}-2+9m^{3}+m}{6m\left(m-2n\right)}$$

Espandi 6m\left(m-2n\right).

$$\frac{12m^{2}-2+9m^{3}+m}{6m^{2}-12mn}$$