Solve (1+lambda)y-(lambda+1)y

$$( 1 + \lambda ) y - ( \lambda + 1 ) y$$

Evaluate

$$0$$

Solution Steps

Use the distributive property to multiply 1+\lambda by y.

$$y+\lambda y-\left(\lambda +1\right)y$$

Use the distributive property to multiply \lambda +1 by y.

$$y+\lambda y-\left(\lambda y+y\right)$$

To find the opposite of \lambda y+y, find the opposite of each term.

$$y+\lambda y-\lambda y-y$$

Combine \lambda y and -\lambda y to get 0.

$$y-y$$

Combine y and -y to get 0.

$$0$$

Factor

$$0$$

Solution Steps

Factor out common term y by using distributive property.

$$y\left(1+\lambda -\left(\lambda +1\right)\right)$$

Consider 1+\lambda -\left(\lambda +1\right). Simplify.

$$0$$