Solve -3+5/left(x+1right)^2

$$-3+ \frac{ 5 }{ { \left(x+1 \right) }^{ 2 } }$$

Evaluate

$$\frac{2-6x-3x^{2}}{\left(x+1\right)^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply -3 times \frac{\left(x+1\right)^{2}}{\left(x+1\right)^{2}}.

$$-\frac{3\left(x+1\right)^{2}}{\left(x+1\right)^{2}}+\frac{5}{\left(x+1\right)^{2}}$$

Since -\frac{3\left(x+1\right)^{2}}{\left(x+1\right)^{2}} and \frac{5}{\left(x+1\right)^{2}} have the same denominator, add them by adding their numerators.

$$\frac{-3\left(x+1\right)^{2}+5}{\left(x+1\right)^{2}}$$

Do the multiplications in -3\left(x+1\right)^{2}+5.

$$\frac{-3x^{2}-6x-3+5}{\left(x+1\right)^{2}}$$

Combine like terms in -3x^{2}-6x-3+5.

$$\frac{-3x^{2}-6x+2}{\left(x+1\right)^{2}}$$

Expand \left(x+1\right)^{2}.

$$\frac{-3x^{2}-6x+2}{x^{2}+2x+1}$$

Expand

$$\frac{2-6x-3x^{2}}{\left(x+1\right)^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply -3 times \frac{\left(x+1\right)^{2}}{\left(x+1\right)^{2}}.

$$-\frac{3\left(x+1\right)^{2}}{\left(x+1\right)^{2}}+\frac{5}{\left(x+1\right)^{2}}$$

Since -\frac{3\left(x+1\right)^{2}}{\left(x+1\right)^{2}} and \frac{5}{\left(x+1\right)^{2}} have the same denominator, add them by adding their numerators.

$$\frac{-3\left(x+1\right)^{2}+5}{\left(x+1\right)^{2}}$$

Do the multiplications in -3\left(x+1\right)^{2}+5.

$$\frac{-3x^{2}-6x-3+5}{\left(x+1\right)^{2}}$$

Combine like terms in -3x^{2}-6x-3+5.

$$\frac{-3x^{2}-6x+2}{\left(x+1\right)^{2}}$$

Expand \left(x+1\right)^{2}.

$$\frac{-3x^{2}-6x+2}{x^{2}+2x+1}$$