Solve f(-2)=(-2-3)(2-6)-(-4-5)(-2-3)

$$f ( - 2 ) = ( - 2 - 3 ) ( 2 - 6 ) - ( - 4 - 5 ) ( - 2 - 3 )$$

Evaluate

$$-25$$

Solution Steps

Subtract 3 from -2 to get -5.

$$-5\left(2-6\right)-\left(-4-5\right)\left(-2-3\right)$$

Subtract 6 from 2 to get -4.

$$-5\left(-4\right)-\left(-4-5\right)\left(-2-3\right)$$

Multiply -5 and -4 to get 20.

$$20-\left(-4-5\right)\left(-2-3\right)$$

Subtract 5 from -4 to get -9.

$$20-\left(-9\left(-2-3\right)\right)$$

Subtract 3 from -2 to get -5.

$$20-\left(-9\left(-5\right)\right)$$

Multiply -9 and -5 to get 45.

$$20-45$$

Subtract 45 from 20 to get -25.

$$-25$$

Factor

$$-25$$