Solve 1/2*(y+1)*y+2.5

$$\frac{ 1 }{ 2 } \times (y+1) \times y+2.5$$

Evaluate

$$\frac{y\left(y+1\right)+5}{2}$$

Solution Steps

Use the distributive property to multiply \frac{1}{2} by y+1.

$$\left(\frac{1}{2}y+\frac{1}{2}\right)y+2.5$$

Use the distributive property to multiply \frac{1}{2}y+\frac{1}{2} by y.

$$\frac{1}{2}yy+\frac{1}{2}y+2.5$$

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

$$\frac{1}{2}y^{2}+\frac{1}{2}y+2.5$$

Expand

$$\frac{y^{2}+y+5}{2}$$

Solution Steps

Use the distributive property to multiply \frac{1}{2} by y+1.

$$\left(\frac{1}{2}y+\frac{1}{2}\right)y+2.5$$

Use the distributive property to multiply \frac{1}{2}y+\frac{1}{2} by y.

$$\frac{1}{2}yy+\frac{1}{2}y+2.5$$

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

$$\frac{1}{2}y^{2}+\frac{1}{2}y+2.5$$