Solve -(3)^2+1/((3)^2+1)^2

$$\frac { - ( 3 ) ^ { 2 } + 1 } { ( ( 3 ) ^ { 2 } + 1 ) ^ { 2 } }$$

Evaluate

$$-\frac{2}{25}=-0.08$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{-9+1}{\left(3^{2}+1\right)^{2}}$$

Add -9 and 1 to get -8.

$$\frac{-8}{\left(3^{2}+1\right)^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{-8}{\left(9+1\right)^{2}}$$

Add 9 and 1 to get 10.

$$\frac{-8}{10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{-8}{100}$$

Reduce the fraction \frac{-8}{100} to lowest terms by extracting and canceling out 4.

$$-\frac{2}{25}$$

Factor

$$-\frac{2}{25} = -0.08$$