Issolvi 2*(2/4x^{5}-8/19x^{4}+3/41x^3)-(5/3x^5+frac{3}{76}x^4-frac{5}{2}x^3)

$$2 \cdot ( \frac { 2 } { 4 } x ^ { 5 } - \frac { 8 } { 19 } x ^ { 4 } + \frac { 3 } { 41 } x ^ { 3 } ) - ( \frac { 5 } { 3 } x ^ { 5 } + \frac { 3 } { 76 } x ^ { 4 } - \frac { 5 } { 2 } x ^ { 3 } )$$

Evalwa

$$-\frac{2x^{5}}{3}-\frac{67x^{4}}{76}+\frac{217x^{3}}{82}$$

Passi tas-Soluzzjonijiet

Naqqas il-frazzjoni \frac{2}{4} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$2\left(\frac{1}{2}x^{5}-\frac{8}{19}x^{4}+\frac{3}{41}x^{3}\right)-\left(\frac{5}{3}x^{5}+\frac{3}{76}x^{4}-\frac{5}{2}x^{3}\right)$$

Uża l-propjetà distributtiva biex timmultiplika 2 b'\frac{1}{2}x^{5}-\frac{8}{19}x^{4}+\frac{3}{41}x^{3}.

$$x^{5}-\frac{16}{19}x^{4}+\frac{6}{41}x^{3}-\left(\frac{5}{3}x^{5}+\frac{3}{76}x^{4}-\frac{5}{2}x^{3}\right)$$

Biex issib l-oppost ta' \frac{5}{3}x^{5}+\frac{3}{76}x^{4}-\frac{5}{2}x^{3}, sib l-oppost ta' kull terminu.

$$x^{5}-\frac{16}{19}x^{4}+\frac{6}{41}x^{3}-\frac{5}{3}x^{5}-\frac{3}{76}x^{4}+\frac{5}{2}x^{3}$$

Ikkombina x^{5} u -\frac{5}{3}x^{5} biex tikseb -\frac{2}{3}x^{5}.

$$-\frac{2}{3}x^{5}-\frac{16}{19}x^{4}+\frac{6}{41}x^{3}-\frac{3}{76}x^{4}+\frac{5}{2}x^{3}$$

Ikkombina -\frac{16}{19}x^{4} u -\frac{3}{76}x^{4} biex tikseb -\frac{67}{76}x^{4}.

$$-\frac{2}{3}x^{5}-\frac{67}{76}x^{4}+\frac{6}{41}x^{3}+\frac{5}{2}x^{3}$$

Ikkombina \frac{6}{41}x^{3} u \frac{5}{2}x^{3} biex tikseb \frac{217}{82}x^{3}.

$$-\frac{2}{3}x^{5}-\frac{67}{76}x^{4}+\frac{217}{82}x^{3}$$

Espandi

$$-\frac{2x^{5}}{3}-\frac{67x^{4}}{76}+\frac{217x^{3}}{82}$$

Passi tas-Soluzzjonijiet

Naqqas il-frazzjoni \frac{2}{4} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$2\left(\frac{1}{2}x^{5}-\frac{8}{19}x^{4}+\frac{3}{41}x^{3}\right)-\left(\frac{5}{3}x^{5}+\frac{3}{76}x^{4}-\frac{5}{2}x^{3}\right)$$

Uża l-propjetà distributtiva biex timmultiplika 2 b'\frac{1}{2}x^{5}-\frac{8}{19}x^{4}+\frac{3}{41}x^{3}.

$$x^{5}-\frac{16}{19}x^{4}+\frac{6}{41}x^{3}-\left(\frac{5}{3}x^{5}+\frac{3}{76}x^{4}-\frac{5}{2}x^{3}\right)$$

Biex issib l-oppost ta' \frac{5}{3}x^{5}+\frac{3}{76}x^{4}-\frac{5}{2}x^{3}, sib l-oppost ta' kull terminu.

$$x^{5}-\frac{16}{19}x^{4}+\frac{6}{41}x^{3}-\frac{5}{3}x^{5}-\frac{3}{76}x^{4}+\frac{5}{2}x^{3}$$

Ikkombina x^{5} u -\frac{5}{3}x^{5} biex tikseb -\frac{2}{3}x^{5}.

$$-\frac{2}{3}x^{5}-\frac{16}{19}x^{4}+\frac{6}{41}x^{3}-\frac{3}{76}x^{4}+\frac{5}{2}x^{3}$$

Ikkombina -\frac{16}{19}x^{4} u -\frac{3}{76}x^{4} biex tikseb -\frac{67}{76}x^{4}.

$$-\frac{2}{3}x^{5}-\frac{67}{76}x^{4}+\frac{6}{41}x^{3}+\frac{5}{2}x^{3}$$

Ikkombina \frac{6}{41}x^{3} u \frac{5}{2}x^{3} biex tikseb \frac{217}{82}x^{3}.

$$-\frac{2}{3}x^{5}-\frac{67}{76}x^{4}+\frac{217}{82}x^{3}$$