Solve pi(n+2)(n+1)

$$\pi ( n + 2 ) ( n + 1 )$$

Evaluate

$$\pi \left(n+1\right)\left(n+2\right)$$

Solution Steps

Use the distributive property to multiply \pi by n+2.

$$\left(\pi n+2\pi \right)\left(n+1\right)$$

Apply the distributive property by multiplying each term of \pi n+2\pi by each term of n+1.

$$\pi n^{2}+\pi n+2\pi n+2\pi$$

Combine \pi n and 2\pi n to get 3\pi n.

$$\pi n^{2}+3\pi n+2\pi$$

Expand

$$\pi n^{2}+3\pi n+2\pi$$

Solution Steps

Use the distributive property to multiply \pi by n+2.

$$\left(\pi n+2\pi \right)\left(n+1\right)$$

Apply the distributive property by multiplying each term of \pi n+2\pi by each term of n+1.

$$\pi n^{2}+\pi n+2\pi n+2\pi$$

Combine \pi n and 2\pi n to get 3\pi n.

$$\pi n^{2}+3\pi n+2\pi$$