Solve (2+5)^2-{(-2)^3-[(3)(4)-(8+2)]}

$$( 2 + 5 ) ^ { 2 } - \{ ( - 2 ) ^ { 3 } - [ ( 3 ) ( 4 ) - ( 8 + 2 ) ] \}$$

Evaluate

$$59$$

Solution Steps

Add 2 and 5 to get 7.

$$7^{2}-\left(\left(-2\right)^{3}-\left(3\times 4-\left(8+2\right)\right)\right)$$

Calculate 7 to the power of 2 and get 49.

$$49-\left(\left(-2\right)^{3}-\left(3\times 4-\left(8+2\right)\right)\right)$$

Calculate -2 to the power of 3 and get -8.

$$49-\left(-8-\left(3\times 4-\left(8+2\right)\right)\right)$$

Multiply 3 and 4 to get 12.

$$49-\left(-8-\left(12-\left(8+2\right)\right)\right)$$

Add 8 and 2 to get 10.

$$49-\left(-8-\left(12-10\right)\right)$$

Subtract 10 from 12 to get 2.

$$49-\left(-8-2\right)$$

Subtract 2 from -8 to get -10.

$$49-\left(-10\right)$$

The opposite of -10 is 10.

$$49+10$$

Add 49 and 10 to get 59.

$$59$$

Factor

$$59$$