Solve 15-[(-5)^2-(1*9-2)^2]

$$15 - [ ( - 5 ) ^ { 2 } - ( 1 \cdot 9 - 2 ) ^ { 2 } ]$$

Evaluate

$$39$$

Solution Steps

Calculate -5 to the power of 2 and get 25.

$$15-\left(25-\left(1\times 9-2\right)^{2}\right)$$

Multiply 1 and 9 to get 9.

$$15-\left(25-\left(9-2\right)^{2}\right)$$

Subtract 2 from 9 to get 7.

$$15-\left(25-7^{2}\right)$$

Calculate 7 to the power of 2 and get 49.

$$15-\left(25-49\right)$$

Subtract 49 from 25 to get -24.

$$15-\left(-24\right)$$

The opposite of -24 is 24.

$$15+24$$

Add 15 and 24 to get 39.

$$39$$

Factor

$$3\times 13$$