Resolver -(2/3ab+c)-(5/9ab+3c-1/4c^2)+(11/9ab+frac{7}{2}c-frac{1}{8}c^2)

$$- ( \frac { 2 } { 3 } a b + c ) - ( \frac { 5 } { 9 } a b + 3 c - \frac { 1 } { 4 } c ^ { 2 } ) + ( \frac { 11 } { 9 } a b + \frac { 7 } { 2 } c - \frac { 1 } { 8 } c ^ { 2 } )$$

Calcular

$$\frac{c\left(c-4\right)}{8}$$

Pasos da solución

Para calcular o oposto de \frac{2}{3}ab+c, calcula o oposto de cada termo.

$$-\frac{2}{3}ab-c-\left(\frac{5}{9}ab+3c-\frac{1}{4}c^{2}\right)+\frac{11}{9}ab+\frac{7}{2}c-\frac{1}{8}c^{2}$$

Para calcular o oposto de \frac{5}{9}ab+3c-\frac{1}{4}c^{2}, calcula o oposto de cada termo.

$$-\frac{2}{3}ab-c-\frac{5}{9}ab-3c+\frac{1}{4}c^{2}+\frac{11}{9}ab+\frac{7}{2}c-\frac{1}{8}c^{2}$$

Combina -\frac{2}{3}ab e -\frac{5}{9}ab para obter -\frac{11}{9}ab.

$$-\frac{11}{9}ab-c-3c+\frac{1}{4}c^{2}+\frac{11}{9}ab+\frac{7}{2}c-\frac{1}{8}c^{2}$$

Combina -c e -3c para obter -4c.

$$-\frac{11}{9}ab-4c+\frac{1}{4}c^{2}+\frac{11}{9}ab+\frac{7}{2}c-\frac{1}{8}c^{2}$$

Combina -\frac{11}{9}ab e \frac{11}{9}ab para obter 0.

$$-4c+\frac{1}{4}c^{2}+\frac{7}{2}c-\frac{1}{8}c^{2}$$

Combina -4c e \frac{7}{2}c para obter -\frac{1}{2}c.

$$-\frac{1}{2}c+\frac{1}{4}c^{2}-\frac{1}{8}c^{2}$$

Combina \frac{1}{4}c^{2} e -\frac{1}{8}c^{2} para obter \frac{1}{8}c^{2}.

$$-\frac{1}{2}c+\frac{1}{8}c^{2}$$

Expandir

$$\frac{c^{2}}{8}-\frac{c}{2}$$

Pasos da solución

Para calcular o oposto de \frac{2}{3}ab+c, calcula o oposto de cada termo.

$$-\frac{2}{3}ab-c-\left(\frac{5}{9}ab+3c-\frac{1}{4}c^{2}\right)+\frac{11}{9}ab+\frac{7}{2}c-\frac{1}{8}c^{2}$$

Para calcular o oposto de \frac{5}{9}ab+3c-\frac{1}{4}c^{2}, calcula o oposto de cada termo.

$$-\frac{2}{3}ab-c-\frac{5}{9}ab-3c+\frac{1}{4}c^{2}+\frac{11}{9}ab+\frac{7}{2}c-\frac{1}{8}c^{2}$$

Combina -\frac{2}{3}ab e -\frac{5}{9}ab para obter -\frac{11}{9}ab.

$$-\frac{11}{9}ab-c-3c+\frac{1}{4}c^{2}+\frac{11}{9}ab+\frac{7}{2}c-\frac{1}{8}c^{2}$$

Combina -c e -3c para obter -4c.

$$-\frac{11}{9}ab-4c+\frac{1}{4}c^{2}+\frac{11}{9}ab+\frac{7}{2}c-\frac{1}{8}c^{2}$$

Combina -\frac{11}{9}ab e \frac{11}{9}ab para obter 0.

$$-4c+\frac{1}{4}c^{2}+\frac{7}{2}c-\frac{1}{8}c^{2}$$

Combina -4c e \frac{7}{2}c para obter -\frac{1}{2}c.

$$-\frac{1}{2}c+\frac{1}{4}c^{2}-\frac{1}{8}c^{2}$$

Combina \frac{1}{4}c^{2} e -\frac{1}{8}c^{2} para obter \frac{1}{8}c^{2}.

$$-\frac{1}{2}c+\frac{1}{8}c^{2}$$