Issolvi 1/beta^2+1/alpha^2

$$\frac { 1 } { \beta ^ { 2 } } + \frac { 1 } { \alpha ^ { 2 } }$$

Evalwa

$$\frac{\alpha ^{2}+\beta ^{2}}{\left(\alpha \beta \right)^{2}}$$

Passi tas-Soluzzjonijiet

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

$$\frac{\alpha ^{2}}{\alpha ^{2}\beta ^{2}}+\frac{\beta ^{2}}{\alpha ^{2}\beta ^{2}}$$

Billi \frac{\alpha ^{2}}{\alpha ^{2}\beta ^{2}} u \frac{\beta ^{2}}{\alpha ^{2}\beta ^{2}} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\alpha ^{2}+\beta ^{2}}{\alpha ^{2}\beta ^{2}}$$

Fattur

$$\frac{\frac{\beta ^{2}}{\alpha ^{2}}+1}{\beta ^{2}}$$