Issolvi n(3/4-1/2n-1/2n+2-3/4)

$$n ( \frac { 3 } { 4 } - \frac { 1 } { 2 n } - \frac { 1 } { 2 n + 2 } - \frac { 3 } { 4 } )$$

Evalwa

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

Passi Qosra tas-Soluzzjonijiet

Naqqas \frac{3}{4} minn \frac{3}{4} biex tikseb 0.

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

Iffattura 2n+2.

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

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

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

Billi -\frac{n+1}{2n\left(n+1\right)} u \frac{n}{2n\left(n+1\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Agħmel il-multiplikazzjonijiet fi -\left(n+1\right)-n.

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

Ikkombina termini simili f'-n-1-n.

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

Esprimi n\times \frac{-2n-1}{2n\left(n+1\right)} bħala frazzjoni waħda.

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

Annulla n fin-numeratur u d-denominatur.

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

Uża l-propjetà distributtiva biex timmultiplika 2 b'n+1.

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

Espandi

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

Passi Qosra tas-Soluzzjonijiet

Naqqas \frac{3}{4} minn \frac{3}{4} biex tikseb 0.

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

Iffattura 2n+2.

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

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

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

Billi -\frac{n+1}{2n\left(n+1\right)} u \frac{n}{2n\left(n+1\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Agħmel il-multiplikazzjonijiet fi -\left(n+1\right)-n.

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

Ikkombina termini simili f'-n-1-n.

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

Esprimi n\times \frac{-2n-1}{2n\left(n+1\right)} bħala frazzjoni waħda.

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

Annulla n fin-numeratur u d-denominatur.

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

Uża l-propjetà distributtiva biex timmultiplika 2 b'n+1.

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