Issolvi 1/n-1/n^2/frac{1{n^4}}+n/frac{1{n}}:frac{n^2}{n^2}

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

Evalwa

$$n^{3}$$

Passi tas-Soluzzjonijiet

Iddividi n^{2} b'n^{2} biex tikseb1.

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

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

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

Billi \frac{n}{n^{2}} u \frac{1}{n^{2}} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Iddividi \frac{n-1}{n^{2}} b'\frac{1}{n^{4}} billi timmultiplika \frac{n-1}{n^{2}} bir-reċiproku ta' \frac{1}{n^{4}}.

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

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

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

Iddividi n b'\frac{1}{n} billi timmultiplika n bir-reċiproku ta' \frac{1}{n}.

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

Immultiplika n u n biex tikseb n^{2}.

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

Kwalunkwe ħaġa diviża b'wieħed tagħti riżultat tagħha stess.

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

Uża l-propjetà distributtiva biex timmultiplika n-1 b'n^{2}.

$$n^{3}-n^{2}+n^{2}$$

Ikkombina -n^{2} u n^{2} biex tikseb 0.

$$n^{3}$$

Espandi

$$n^{3}$$

Passi tas-Soluzzjonijiet

Iddividi n^{2} b'n^{2} biex tikseb1.

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

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

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

Billi \frac{n}{n^{2}} u \frac{1}{n^{2}} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Iddividi \frac{n-1}{n^{2}} b'\frac{1}{n^{4}} billi timmultiplika \frac{n-1}{n^{2}} bir-reċiproku ta' \frac{1}{n^{4}}.

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

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

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

Iddividi n b'\frac{1}{n} billi timmultiplika n bir-reċiproku ta' \frac{1}{n}.

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

Immultiplika n u n biex tikseb n^{2}.

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

Kwalunkwe ħaġa diviża b'wieħed tagħti riżultat tagħha stess.

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

Uża l-propjetà distributtiva biex timmultiplika n-1 b'n^{2}.

$$n^{3}-n^{2}+n^{2}$$

Ikkombina -n^{2} u n^{2} biex tikseb 0.

$$n^{3}$$