Issolvi 1/(2n-1)^2+1/4n^2

$$\frac { 1 } { ( 2 n - 1 ) ^ { 2 } } + \frac { 1 } { 4 n ^ { 2 } }$$

Evalwa

$$\frac{8n^{2}-4n+1}{4\left(n\left(2n-1\right)\right)^{2}}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' \left(2n-1\right)^{2} u 4n^{2} huwa 4n^{2}\left(2n-1\right)^{2}. Immultiplika \frac{1}{\left(2n-1\right)^{2}} b'\frac{4n^{2}}{4n^{2}}. Immultiplika \frac{1}{4n^{2}} b'\frac{\left(2n-1\right)^{2}}{\left(2n-1\right)^{2}}.

$$\frac{4n^{2}}{4n^{2}\left(2n-1\right)^{2}}+\frac{\left(2n-1\right)^{2}}{4n^{2}\left(2n-1\right)^{2}}$$

Billi \frac{4n^{2}}{4n^{2}\left(2n-1\right)^{2}} u \frac{\left(2n-1\right)^{2}}{4n^{2}\left(2n-1\right)^{2}} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{4n^{2}+\left(2n-1\right)^{2}}{4n^{2}\left(2n-1\right)^{2}}$$

Agħmel il-multiplikazzjonijiet fi 4n^{2}+\left(2n-1\right)^{2}.

$$\frac{4n^{2}+4n^{2}-4n+1}{4n^{2}\left(2n-1\right)^{2}}$$

Ikkombina termini simili f'4n^{2}+4n^{2}-4n+1.

$$\frac{8n^{2}-4n+1}{4n^{2}\left(2n-1\right)^{2}}$$

Espandi 4n^{2}\left(2n-1\right)^{2}.

$$\frac{8n^{2}-4n+1}{16n^{4}-16n^{3}+4n^{2}}$$

Espandi

$$\frac{8n^{2}-4n+1}{4\left(n\left(2n-1\right)\right)^{2}}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' \left(2n-1\right)^{2} u 4n^{2} huwa 4n^{2}\left(2n-1\right)^{2}. Immultiplika \frac{1}{\left(2n-1\right)^{2}} b'\frac{4n^{2}}{4n^{2}}. Immultiplika \frac{1}{4n^{2}} b'\frac{\left(2n-1\right)^{2}}{\left(2n-1\right)^{2}}.

$$\frac{4n^{2}}{4n^{2}\left(2n-1\right)^{2}}+\frac{\left(2n-1\right)^{2}}{4n^{2}\left(2n-1\right)^{2}}$$

Billi \frac{4n^{2}}{4n^{2}\left(2n-1\right)^{2}} u \frac{\left(2n-1\right)^{2}}{4n^{2}\left(2n-1\right)^{2}} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{4n^{2}+\left(2n-1\right)^{2}}{4n^{2}\left(2n-1\right)^{2}}$$

Agħmel il-multiplikazzjonijiet fi 4n^{2}+\left(2n-1\right)^{2}.

$$\frac{4n^{2}+4n^{2}-4n+1}{4n^{2}\left(2n-1\right)^{2}}$$

Ikkombina termini simili f'4n^{2}+4n^{2}-4n+1.

$$\frac{8n^{2}-4n+1}{4n^{2}\left(2n-1\right)^{2}}$$

Espandi 4n^{2}\left(2n-1\right)^{2}.

$$\frac{8n^{2}-4n+1}{16n^{4}-16n^{3}+4n^{2}}$$