Rešite 112/3b^2+31/4b-65/6-21/2b^2+4frac{1}{3}b+1frac{11}{12}

$$11 \frac { 2 } { 3 } b ^ { 2 } + 3 \frac { 1 } { 4 } b - 6 \frac { 5 } { 6 } - 2 \frac { 1 } { 2 } b ^ { 2 } + 4 \frac { 1 } { 3 } b + 1 \frac { 11 } { 12 }$$

Ovrednoti

$$\frac{55b^{2}}{6}+\frac{91b}{12}-\frac{59}{12}$$

Koraki rešitve

Pomnožite 11 in 3, da dobite 33.

$$\frac{33+2}{3}b^{2}+\frac{3\times 4+1}{4}b-\frac{6\times 6+5}{6}-\frac{2\times 2+1}{2}b^{2}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Seštejte 33 in 2, da dobite 35.

$$\frac{35}{3}b^{2}+\frac{3\times 4+1}{4}b-\frac{6\times 6+5}{6}-\frac{2\times 2+1}{2}b^{2}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Pomnožite 3 in 4, da dobite 12.

$$\frac{35}{3}b^{2}+\frac{12+1}{4}b-\frac{6\times 6+5}{6}-\frac{2\times 2+1}{2}b^{2}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Seštejte 12 in 1, da dobite 13.

$$\frac{35}{3}b^{2}+\frac{13}{4}b-\frac{6\times 6+5}{6}-\frac{2\times 2+1}{2}b^{2}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Pomnožite 6 in 6, da dobite 36.

$$\frac{35}{3}b^{2}+\frac{13}{4}b-\frac{36+5}{6}-\frac{2\times 2+1}{2}b^{2}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Seštejte 36 in 5, da dobite 41.

$$\frac{35}{3}b^{2}+\frac{13}{4}b-\frac{41}{6}-\frac{2\times 2+1}{2}b^{2}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Pomnožite 2 in 2, da dobite 4.

$$\frac{35}{3}b^{2}+\frac{13}{4}b-\frac{41}{6}-\frac{4+1}{2}b^{2}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Seštejte 4 in 1, da dobite 5.

$$\frac{35}{3}b^{2}+\frac{13}{4}b-\frac{41}{6}-\frac{5}{2}b^{2}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Združite \frac{35}{3}b^{2} in -\frac{5}{2}b^{2}, da dobite \frac{55}{6}b^{2}.

$$\frac{55}{6}b^{2}+\frac{13}{4}b-\frac{41}{6}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Pomnožite 4 in 3, da dobite 12.

$$\frac{55}{6}b^{2}+\frac{13}{4}b-\frac{41}{6}+\frac{12+1}{3}b+\frac{1\times 12+11}{12}$$

Seštejte 12 in 1, da dobite 13.

$$\frac{55}{6}b^{2}+\frac{13}{4}b-\frac{41}{6}+\frac{13}{3}b+\frac{1\times 12+11}{12}$$

Združite \frac{13}{4}b in \frac{13}{3}b, da dobite \frac{91}{12}b.

$$\frac{55}{6}b^{2}+\frac{91}{12}b-\frac{41}{6}+\frac{1\times 12+11}{12}$$

Pomnožite 1 in 12, da dobite 12.

$$\frac{55}{6}b^{2}+\frac{91}{12}b-\frac{41}{6}+\frac{12+11}{12}$$

Seštejte 12 in 11, da dobite 23.

$$\frac{55}{6}b^{2}+\frac{91}{12}b-\frac{41}{6}+\frac{23}{12}$$

Seštejte -\frac{41}{6} in \frac{23}{12}, da dobite -\frac{59}{12}.

$$\frac{55}{6}b^{2}+\frac{91}{12}b-\frac{59}{12}$$

Razširi

$$\frac{55b^{2}}{6}+\frac{91b}{12}-\frac{59}{12}$$

Koraki rešitve

Pomnožite 11 in 3, da dobite 33.

$$\frac{33+2}{3}b^{2}+\frac{3\times 4+1}{4}b-\frac{6\times 6+5}{6}-\frac{2\times 2+1}{2}b^{2}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Seštejte 33 in 2, da dobite 35.

$$\frac{35}{3}b^{2}+\frac{3\times 4+1}{4}b-\frac{6\times 6+5}{6}-\frac{2\times 2+1}{2}b^{2}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Pomnožite 3 in 4, da dobite 12.

$$\frac{35}{3}b^{2}+\frac{12+1}{4}b-\frac{6\times 6+5}{6}-\frac{2\times 2+1}{2}b^{2}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Seštejte 12 in 1, da dobite 13.

$$\frac{35}{3}b^{2}+\frac{13}{4}b-\frac{6\times 6+5}{6}-\frac{2\times 2+1}{2}b^{2}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Pomnožite 6 in 6, da dobite 36.

$$\frac{35}{3}b^{2}+\frac{13}{4}b-\frac{36+5}{6}-\frac{2\times 2+1}{2}b^{2}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Seštejte 36 in 5, da dobite 41.

$$\frac{35}{3}b^{2}+\frac{13}{4}b-\frac{41}{6}-\frac{2\times 2+1}{2}b^{2}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Pomnožite 2 in 2, da dobite 4.

$$\frac{35}{3}b^{2}+\frac{13}{4}b-\frac{41}{6}-\frac{4+1}{2}b^{2}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Seštejte 4 in 1, da dobite 5.

$$\frac{35}{3}b^{2}+\frac{13}{4}b-\frac{41}{6}-\frac{5}{2}b^{2}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Združite \frac{35}{3}b^{2} in -\frac{5}{2}b^{2}, da dobite \frac{55}{6}b^{2}.

$$\frac{55}{6}b^{2}+\frac{13}{4}b-\frac{41}{6}+\frac{4\times 3+1}{3}b+\frac{1\times 12+11}{12}$$

Pomnožite 4 in 3, da dobite 12.

$$\frac{55}{6}b^{2}+\frac{13}{4}b-\frac{41}{6}+\frac{12+1}{3}b+\frac{1\times 12+11}{12}$$

Seštejte 12 in 1, da dobite 13.

$$\frac{55}{6}b^{2}+\frac{13}{4}b-\frac{41}{6}+\frac{13}{3}b+\frac{1\times 12+11}{12}$$

Združite \frac{13}{4}b in \frac{13}{3}b, da dobite \frac{91}{12}b.

$$\frac{55}{6}b^{2}+\frac{91}{12}b-\frac{41}{6}+\frac{1\times 12+11}{12}$$

Pomnožite 1 in 12, da dobite 12.

$$\frac{55}{6}b^{2}+\frac{91}{12}b-\frac{41}{6}+\frac{12+11}{12}$$

Seštejte 12 in 11, da dobite 23.

$$\frac{55}{6}b^{2}+\frac{91}{12}b-\frac{41}{6}+\frac{23}{12}$$

Seštejte -\frac{41}{6} in \frac{23}{12}, da dobite -\frac{59}{12}.

$$\frac{55}{6}b^{2}+\frac{91}{12}b-\frac{59}{12}$$