Solve -2/-2--1+2-2-1/-2^2-2(-2-1)-1^2

$$\frac{ -2 }{ -2--1 } + \frac{ 2-2-1 }{ - { 2 }^{ 2 } -2(-2-1)- { 1 }^{ 2 } }$$

Evaluate

$$1$$

Solution Steps

The opposite of -1 is 1.

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

Add -2 and 1 to get -1.

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

Fraction \frac{-2}{-1} can be simplified to 2 by removing the negative sign from both the numerator and the denominator.

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

Extract the negative sign in 2-2-1.

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

Cancel out -2^{2}-2\left(-2-1\right)-1^{2} in both numerator and denominator.

$$2-1$$

Subtract 1 from 2 to get 1.

$$1$$

Factor

$$1$$