Solve left(4-5right)^2-left(2-9right)^2

$${ \left(4-5 \right) }^{ 2 } - { \left(2-9 \right) }^{ 2 }$$

Evaluate

$$-48$$

Solution Steps

Subtract 5 from 4 to get -1.

$$\left(-1\right)^{2}-\left(2-9\right)^{2}$$

Calculate -1 to the power of 2 and get 1.

$$1-\left(2-9\right)^{2}$$

Subtract 9 from 2 to get -7.

$$1-\left(-7\right)^{2}$$

Calculate -7 to the power of 2 and get 49.

$$1-49$$

Subtract 49 from 1 to get -48.

$$-48$$

Factor

$$-48$$