Beginning Algebra
Which statement best defines the least common denominator (LCD) for rational expressions?
Factor the quadratic denominator x2+7x+12x^2+7x+12 into irreducible factors over the integers.
Compute the LCD for the denominators 9x9x, 20x220x^2, and 1414.
Rewrite the pair of rational expressions 130x\(\frac{1}{30x}\) and 120x2\(\frac{1}{20x^2}\) so both have the LCD 60x260x^2.
Two painters are working together to paint a wall. Painter A can paint 3x+2\(\frac{3}{x+2}\) of the wall per hour, while Painter B can paint 2x2+3x+2\(\frac{2}{x^2+3x+2}\) of the wall per hour. Determine their combined rate.