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

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

Evaluer

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

Løsningsvejledning

Multiplicer 11 og 3 for at få 33.

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

Tilføj 33 og 2 for at få 35.

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

Multiplicer 3 og 4 for at få 12.

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

Tilføj 12 og 1 for at få 13.

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

Multiplicer 6 og 6 for at få 36.

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

Tilføj 36 og 5 for at få 41.

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

Multiplicer 2 og 2 for at få 4.

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

Tilføj 4 og 1 for at få 5.

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

Kombiner \frac{35}{3}b^{2} og -\frac{5}{2}b^{2} for at få \frac{55}{6}b^{2}.

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

Multiplicer 4 og 3 for at få 12.

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

Tilføj 12 og 1 for at få 13.

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

Kombiner \frac{13}{4}b og \frac{13}{3}b for at få \frac{91}{12}b.

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

Multiplicer 1 og 12 for at få 12.

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

Tilføj 12 og 11 for at få 23.

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

Tilføj -\frac{41}{6} og \frac{23}{12} for at få -\frac{59}{12}.

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

Udvid

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

Løsningsvejledning

Multiplicer 11 og 3 for at få 33.

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

Tilføj 33 og 2 for at få 35.

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

Multiplicer 3 og 4 for at få 12.

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

Tilføj 12 og 1 for at få 13.

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

Multiplicer 6 og 6 for at få 36.

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

Tilføj 36 og 5 for at få 41.

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

Multiplicer 2 og 2 for at få 4.

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

Tilføj 4 og 1 for at få 5.

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

Kombiner \frac{35}{3}b^{2} og -\frac{5}{2}b^{2} for at få \frac{55}{6}b^{2}.

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

Multiplicer 4 og 3 for at få 12.

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

Tilføj 12 og 1 for at få 13.

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

Kombiner \frac{13}{4}b og \frac{13}{3}b for at få \frac{91}{12}b.

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

Multiplicer 1 og 12 for at få 12.

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

Tilføj 12 og 11 for at få 23.

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

Tilføj -\frac{41}{6} og \frac{23}{12} for at få -\frac{59}{12}.

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