Solve t/2+(t/2)^2+(t/2)^3+t/2)^2+frac{7}2^2+

$$\frac { t } { 2 } + ( \frac { t } { 2 } ) ^ { 2 } + ( \frac { t } { 2 } ) ^ { 3 } + \frac { t } { 2 } ) ^ { 2 } + \frac { 7 } { 2 } ^ { 2 } +$$

Evaluate

$$\frac{t^{3}}{8}+\frac{t^{2}}{4}+t$$

Short Solution Steps

To raise \frac{t}{2} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{t}{2}+\frac{t^{2}}{2^{2}}+\left(\frac{t}{2}\right)^{3}+\frac{t}{2}$$

To raise \frac{t}{2} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{t}{2}+\frac{t^{2}}{2^{2}}+\frac{t^{3}}{2^{3}}+\frac{t}{2}$$

Combine \frac{t}{2} and \frac{t}{2} to get t.

$$t+\frac{t^{2}}{2^{2}}+\frac{t^{3}}{2^{3}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply t times \frac{2^{2}}{2^{2}}.

$$\frac{t\times 2^{2}}{2^{2}}+\frac{t^{2}}{2^{2}}+\frac{t^{3}}{2^{3}}$$

Since \frac{t\times 2^{2}}{2^{2}} and \frac{t^{2}}{2^{2}} have the same denominator, add them by adding their numerators.

$$\frac{t\times 2^{2}+t^{2}}{2^{2}}+\frac{t^{3}}{2^{3}}$$

Do the multiplications in t\times 2^{2}+t^{2}.

$$\frac{4t+t^{2}}{2^{2}}+\frac{t^{3}}{2^{3}}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2^{2} and 2^{3} is 8. Multiply \frac{4t+t^{2}}{2^{2}} times \frac{2}{2}.

$$\frac{2\left(4t+t^{2}\right)}{8}+\frac{t^{3}}{8}$$

Since \frac{2\left(4t+t^{2}\right)}{8} and \frac{t^{3}}{8} have the same denominator, add them by adding their numerators.

$$\frac{2\left(4t+t^{2}\right)+t^{3}}{8}$$

Do the multiplications in 2\left(4t+t^{2}\right)+t^{3}.

$$\frac{8t+2t^{2}+t^{3}}{8}$$

Expand

$$\frac{t^{3}}{8}+\frac{t^{2}}{4}+t$$

Short Solution Steps

To raise \frac{t}{2} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{t}{2}+\frac{t^{2}}{2^{2}}+\left(\frac{t}{2}\right)^{3}+\frac{t}{2}$$

To raise \frac{t}{2} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{t}{2}+\frac{t^{2}}{2^{2}}+\frac{t^{3}}{2^{3}}+\frac{t}{2}$$

Combine \frac{t}{2} and \frac{t}{2} to get t.

$$t+\frac{t^{2}}{2^{2}}+\frac{t^{3}}{2^{3}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply t times \frac{2^{2}}{2^{2}}.

$$\frac{t\times 2^{2}}{2^{2}}+\frac{t^{2}}{2^{2}}+\frac{t^{3}}{2^{3}}$$

Since \frac{t\times 2^{2}}{2^{2}} and \frac{t^{2}}{2^{2}} have the same denominator, add them by adding their numerators.

$$\frac{t\times 2^{2}+t^{2}}{2^{2}}+\frac{t^{3}}{2^{3}}$$

Do the multiplications in t\times 2^{2}+t^{2}.

$$\frac{4t+t^{2}}{2^{2}}+\frac{t^{3}}{2^{3}}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2^{2} and 2^{3} is 8. Multiply \frac{4t+t^{2}}{2^{2}} times \frac{2}{2}.

$$\frac{2\left(4t+t^{2}\right)}{8}+\frac{t^{3}}{8}$$

Since \frac{2\left(4t+t^{2}\right)}{8} and \frac{t^{3}}{8} have the same denominator, add them by adding their numerators.

$$\frac{2\left(4t+t^{2}\right)+t^{3}}{8}$$

Do the multiplications in 2\left(4t+t^{2}\right)+t^{3}.

$$\frac{8t+2t^{2}+t^{3}}{8}$$