Exercise
$\frac{x^2-2x}{x^2-5x+6}.\frac{x^2+4x+4}{x^2-4}$
Step-by-step Solution
Learn how to solve problems step by step online. Simplify the expression (x^2-2x)/(x^2-5x+6)(x^2+4x+4)/(x^2-4). Multiplying fractions \frac{x^2-2x}{x^2-5x+6} \times \frac{x^2+4x+4}{x^2-4}. Factor the trinomial \left(x^2-5x+6\right) finding two numbers that multiply to form 6 and added form -5. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values. The trinomial \left(x^2+4x+4\right) is a perfect square trinomial, because it's discriminant is equal to zero.
Simplify the expression (x^2-2x)/(x^2-5x+6)(x^2+4x+4)/(x^2-4)
Final answer to the exercise
$\frac{x\left(x+2\right)}{\left(x-3\right)\left(x-2\right)}$