Skip to main content
Evaluate
Tick mark Image
Expand
Tick mark Image
Graph

Similar Problems from Web Search

Share

\frac{\left(x-2\right)\left(x+2\right)}{x+2}+\frac{3}{x+2}-\frac{x^{2}+2x+1}{x+2}
To add or subtract expressions, expand them to make their denominators the same. Multiply x-2 times \frac{x+2}{x+2}.
\frac{\left(x-2\right)\left(x+2\right)+3}{x+2}-\frac{x^{2}+2x+1}{x+2}
Since \frac{\left(x-2\right)\left(x+2\right)}{x+2} and \frac{3}{x+2} have the same denominator, add them by adding their numerators.
\frac{x^{2}+2x-2x-4+3}{x+2}-\frac{x^{2}+2x+1}{x+2}
Do the multiplications in \left(x-2\right)\left(x+2\right)+3.
\frac{x^{2}-1}{x+2}-\frac{x^{2}+2x+1}{x+2}
Combine like terms in x^{2}+2x-2x-4+3.
\frac{x^{2}-1-\left(x^{2}+2x+1\right)}{x+2}
Since \frac{x^{2}-1}{x+2} and \frac{x^{2}+2x+1}{x+2} have the same denominator, subtract them by subtracting their numerators.
\frac{x^{2}-1-x^{2}-2x-1}{x+2}
Do the multiplications in x^{2}-1-\left(x^{2}+2x+1\right).
\frac{-2-2x}{x+2}
Combine like terms in x^{2}-1-x^{2}-2x-1.
\frac{\left(x-2\right)\left(x+2\right)}{x+2}+\frac{3}{x+2}-\frac{x^{2}+2x+1}{x+2}
To add or subtract expressions, expand them to make their denominators the same. Multiply x-2 times \frac{x+2}{x+2}.
\frac{\left(x-2\right)\left(x+2\right)+3}{x+2}-\frac{x^{2}+2x+1}{x+2}
Since \frac{\left(x-2\right)\left(x+2\right)}{x+2} and \frac{3}{x+2} have the same denominator, add them by adding their numerators.
\frac{x^{2}+2x-2x-4+3}{x+2}-\frac{x^{2}+2x+1}{x+2}
Do the multiplications in \left(x-2\right)\left(x+2\right)+3.
\frac{x^{2}-1}{x+2}-\frac{x^{2}+2x+1}{x+2}
Combine like terms in x^{2}+2x-2x-4+3.
\frac{x^{2}-1-\left(x^{2}+2x+1\right)}{x+2}
Since \frac{x^{2}-1}{x+2} and \frac{x^{2}+2x+1}{x+2} have the same denominator, subtract them by subtracting their numerators.
\frac{x^{2}-1-x^{2}-2x-1}{x+2}
Do the multiplications in x^{2}-1-\left(x^{2}+2x+1\right).
\frac{-2-2x}{x+2}
Combine like terms in x^{2}-1-x^{2}-2x-1.