Solve s(s+7)(s+3)+s+k

$$s ( s + 7 ) ( s + 3 ) + s + k$$

Evaluate

$$s\left(s+3\right)\left(s+7\right)+k+s$$

Solution Steps

Use the distributive property to multiply s by s+7.

$$\left(s^{2}+7s\right)\left(s+3\right)+s+k$$

Apply the distributive property by multiplying each term of s^{2}+7s by each term of s+3.

$$s^{3}+3s^{2}+7s^{2}+21s+s+k$$

Combine 3s^{2} and 7s^{2} to get 10s^{2}.

$$s^{3}+10s^{2}+21s+s+k$$

Combine 21s and s to get 22s.

$$s^{3}+10s^{2}+22s+k$$

Expand

$$s^{3}+10s^{2}+22s+k$$

Solution Steps

Use the distributive property to multiply s by s+7.

$$\left(s^{2}+7s\right)\left(s+3\right)+s+k$$

Apply the distributive property by multiplying each term of s^{2}+7s by each term of s+3.

$$s^{3}+3s^{2}+7s^{2}+21s+s+k$$

Combine 3s^{2} and 7s^{2} to get 10s^{2}.

$$s^{3}+10s^{2}+21s+s+k$$

Combine 21s and s to get 22s.

$$s^{3}+10s^{2}+22s+k$$