Solve 7*(k-2)+2*(lambda-2)+(k-2)*(-7+lambda)-klambda

$$7 \cdot ( k - 2 ) + 2 \cdot ( \lambda - 2 ) + ( k - 2 ) \cdot ( - 7 + \lambda ) - k \lambda$$

Evaluate

$$-4$$

Solution Steps

Use the distributive property to multiply 7 by k-2.

$$7k-14+2\left(\lambda -2\right)+\left(k-2\right)\left(-7+\lambda \right)-k\lambda$$

Use the distributive property to multiply 2 by \lambda -2.

$$7k-14+2\lambda -4+\left(k-2\right)\left(-7+\lambda \right)-k\lambda$$

Subtract 4 from -14 to get -18.

$$7k-18+2\lambda +\left(k-2\right)\left(-7+\lambda \right)-k\lambda$$

Apply the distributive property by multiplying each term of k-2 by each term of -7+\lambda .

$$7k-18+2\lambda -7k+k\lambda +14-2\lambda -k\lambda$$

Combine 7k and -7k to get 0.

$$-18+2\lambda +k\lambda +14-2\lambda -k\lambda$$

Add -18 and 14 to get -4.

$$-4+2\lambda +k\lambda -2\lambda -k\lambda$$

Combine 2\lambda and -2\lambda to get 0.

$$-4+k\lambda -k\lambda$$

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

$$-4$$

Factor

$$-4$$