Simplify t+(t^2)/2+t^2+t

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

Step 1

Add $t$ and $t$ .

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

Step 2

To write $t^{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Step 3

Combine $t^{2}$ and $\frac{2}{2}$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Add $t^{2}$ and $t^{2} \cdot 2$ .

Reorder $t^{2}$ and $2$ .

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

Add $t^{2}$ and $2 \cdot t^{2}$ .

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