Solve 1left(lambda-20right)+2(3+10)2left(12+2lambdaright)

$$1 \left( \lambda -20 \right) +2(3+10)2 \left( 12+2 \lambda \right)$$

Evaluate

$$105\lambda +604$$

Solution Steps

Use the distributive property to multiply 1 by \lambda -20.

$$\lambda -20+2\left(3+10\right)\times 2\left(12+2\lambda \right)$$

Add 3 and 10 to get 13.

$$\lambda -20+2\times 13\times 2\left(12+2\lambda \right)$$

Multiply 2 and 13 to get 26.

$$\lambda -20+26\times 2\left(12+2\lambda \right)$$

Multiply 26 and 2 to get 52.

$$\lambda -20+52\left(12+2\lambda \right)$$

Use the distributive property to multiply 52 by 12+2\lambda .

$$\lambda -20+624+104\lambda$$

Add -20 and 624 to get 604.

$$\lambda +604+104\lambda$$

Combine \lambda and 104\lambda to get 105\lambda .

$$105\lambda +604$$

Expand

$$105\lambda +604$$

Solution Steps

Use the distributive property to multiply 1 by \lambda -20.

$$\lambda -20+2\left(3+10\right)\times 2\left(12+2\lambda \right)$$

Add 3 and 10 to get 13.

$$\lambda -20+2\times 13\times 2\left(12+2\lambda \right)$$

Multiply 2 and 13 to get 26.

$$\lambda -20+26\times 2\left(12+2\lambda \right)$$

Multiply 26 and 2 to get 52.

$$\lambda -20+52\left(12+2\lambda \right)$$

Use the distributive property to multiply 52 by 12+2\lambda .

$$\lambda -20+624+104\lambda$$

Add -20 and 624 to get 604.

$$\lambda +604+104\lambda$$

Combine \lambda and 104\lambda to get 105\lambda .

$$105\lambda +604$$