Issolvi 1/2(n+1)(n+2)

$$\frac { 1 } { 2 } ( n + 1 ) ( n + 2 )$$

Evalwa

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

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika \frac{1}{2} b'n+1.

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

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' \frac{1}{2}n+\frac{1}{2} b'kull terminu ta' n+2.

$$\frac{1}{2}nn+\frac{1}{2}n\times 2+\frac{1}{2}n+\frac{1}{2}\times 2$$

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

$$\frac{1}{2}n^{2}+\frac{1}{2}n\times 2+\frac{1}{2}n+\frac{1}{2}\times 2$$

Annulla 2 u 2.

$$\frac{1}{2}n^{2}+n+\frac{1}{2}n+\frac{1}{2}\times 2$$

Ikkombina n u \frac{1}{2}n biex tikseb \frac{3}{2}n.

$$\frac{1}{2}n^{2}+\frac{3}{2}n+\frac{1}{2}\times 2$$

Annulla 2 u 2.

$$\frac{1}{2}n^{2}+\frac{3}{2}n+1$$

Espandi

$$\frac{n^{2}}{2}+\frac{3n}{2}+1$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika \frac{1}{2} b'n+1.

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

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' \frac{1}{2}n+\frac{1}{2} b'kull terminu ta' n+2.

$$\frac{1}{2}nn+\frac{1}{2}n\times 2+\frac{1}{2}n+\frac{1}{2}\times 2$$

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

$$\frac{1}{2}n^{2}+\frac{1}{2}n\times 2+\frac{1}{2}n+\frac{1}{2}\times 2$$

Annulla 2 u 2.

$$\frac{1}{2}n^{2}+n+\frac{1}{2}n+\frac{1}{2}\times 2$$

Ikkombina n u \frac{1}{2}n biex tikseb \frac{3}{2}n.

$$\frac{1}{2}n^{2}+\frac{3}{2}n+\frac{1}{2}\times 2$$

Annulla 2 u 2.

$$\frac{1}{2}n^{2}+\frac{3}{2}n+1$$