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Exercise

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

Step-by-step Solution

1

Factor the trinomial $x^2+2x-3$ finding two numbers that multiply to form $-3$ and added form $2$

$\begin{matrix}\left(-1\right)\left(3\right)=-3\\ \left(-1\right)+\left(3\right)=2\end{matrix}$
2

Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values

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

Final answer to the exercise

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

Try other ways to solve this exercise

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  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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