1.6 Rational expressions  (Page 3/6)

How can you use factoring to simplify rational expressions?

How do you use the LCD to combine two rational expressions?

Tell whether the following statement is true or false and explain why: You only need to find the LCD when adding or subtracting rational expressions.

$\frac{x^2-16}{x^2-5x+4}$

$\frac{y^2+10y+25}{y^2+11y+30}$

$\frac{6a^2-24a+24}{6a^2-24}$

$\frac{9b^2+18b+9}{3b+3}$

$\frac{m-12}{m^2-144}$

$\frac{2x^2+7x-4}{4x^2+2x-2}$

$\frac{6x^2+5x-4}{3x^2+19x+20}$

$\frac{a^2+9a+18}{a^2+3a-18}$

$\frac{3c^2+25c-18}{3c^2-23c+14}$

$\frac{12n^2-29n-8}{28n^2-5n-3}$

$\frac{x^2-x-6}{2x^2+x-6}\cdot \frac{2x^2+7x-15}{x^2-9}$

$\frac{c^2+2c-24}{c^2+12c+36}\cdot \frac{c^2-10c+24}{c^2-8c+16}$

$\frac{2d^2+9d-35}{d^2+10d+21}\cdot \frac{3d^2+2d-21}{3d^2+14d-49}$

$\frac{10h^2-9h-9}{2h^2-19h+24}\cdot \frac{h^2-16h+64}{5h^2-37h-24}$

$\frac{6b^2+13b+6}{4b^2-9}\cdot \frac{6b^2+31b-30}{18b^2-3b-10}$

$\frac{2d^2+15d+25}{4d^2-25}\cdot \frac{2d^2-15d+25}{25d^2-1}$

$\frac{6x^2-5x-50}{15x^2-44x-20}\cdot \frac{20x^2-7x-6}{2x^2+9x+10}$

$\frac{t^2-1}{t^2+4t+3}\cdot \frac{t^2+2t-15}{t^2-4t+3}$

$\frac{2n^2-n-15}{6n^2+13n-5}\cdot \frac{12n^2-13n+3}{4n^2-15n+9}$

$\frac{36x^2-25}{6x^2+65x+50}\cdot \frac{3x^2+32x+20}{18x^2+27x+10}$