Solve 73/8dt+21/8tt+55/8dt=

$$7 \frac { 3 } { 8 } d t + 2 \frac { 1 } { 8 } t t + 5 \frac { 5 } { 8 } d t =$$

Evaluate

$$13dt+\frac{17t^{2}}{8}$$

Solution Steps

Multiply t and t to get t^{2}.

$$\frac{7\times 8+3}{8}dt+\frac{2\times 8+1}{8}t^{2}+\frac{5\times 8+5}{8}dt$$

Multiply 7 and 8 to get 56.

$$\frac{56+3}{8}dt+\frac{2\times 8+1}{8}t^{2}+\frac{5\times 8+5}{8}dt$$

Add 56 and 3 to get 59.

$$\frac{59}{8}dt+\frac{2\times 8+1}{8}t^{2}+\frac{5\times 8+5}{8}dt$$

Multiply 2 and 8 to get 16.

$$\frac{59}{8}dt+\frac{16+1}{8}t^{2}+\frac{5\times 8+5}{8}dt$$

Add 16 and 1 to get 17.

$$\frac{59}{8}dt+\frac{17}{8}t^{2}+\frac{5\times 8+5}{8}dt$$

Multiply 5 and 8 to get 40.

$$\frac{59}{8}dt+\frac{17}{8}t^{2}+\frac{40+5}{8}dt$$

Add 40 and 5 to get 45.

$$\frac{59}{8}dt+\frac{17}{8}t^{2}+\frac{45}{8}dt$$

Combine \frac{59}{8}dt and \frac{45}{8}dt to get 13dt.

$$13dt+\frac{17}{8}t^{2}$$

Expand

$$13dt+\frac{17t^{2}}{8}$$

Solution Steps

Multiply t and t to get t^{2}.

$$\frac{7\times 8+3}{8}dt+\frac{2\times 8+1}{8}t^{2}+\frac{5\times 8+5}{8}dt$$

Multiply 7 and 8 to get 56.

$$\frac{56+3}{8}dt+\frac{2\times 8+1}{8}t^{2}+\frac{5\times 8+5}{8}dt$$

Add 56 and 3 to get 59.

$$\frac{59}{8}dt+\frac{2\times 8+1}{8}t^{2}+\frac{5\times 8+5}{8}dt$$

Multiply 2 and 8 to get 16.

$$\frac{59}{8}dt+\frac{16+1}{8}t^{2}+\frac{5\times 8+5}{8}dt$$

Add 16 and 1 to get 17.

$$\frac{59}{8}dt+\frac{17}{8}t^{2}+\frac{5\times 8+5}{8}dt$$

Multiply 5 and 8 to get 40.

$$\frac{59}{8}dt+\frac{17}{8}t^{2}+\frac{40+5}{8}dt$$

Add 40 and 5 to get 45.

$$\frac{59}{8}dt+\frac{17}{8}t^{2}+\frac{45}{8}dt$$

Combine \frac{59}{8}dt and \frac{45}{8}dt to get 13dt.

$$13dt+\frac{17}{8}t^{2}$$