17.05 Simplifying algebraic fractions (Extended)
Simplify:
\dfrac{40 y}{450}
\dfrac{6 n}{9 n}
\dfrac{42 x y}{24 y}
\dfrac{15 n^{2}}{- 40 n}
\dfrac{64 m n^{2}}{40 m^{2} n}
-\dfrac{10 x^{2}}{6 xy^{3}}
\dfrac{6 p^{5}}{3 p^{3}}
\dfrac{10 a^{3}b^5}{25 a^{2}b^9}
Simplify:
\dfrac{25 x - 40}{55}
\dfrac{4 u v - 20 u w}{4 u}
\dfrac{5 u}{5 u v - 30 u w}
\dfrac{9 m^{2} + 24 m n}{18 m^{2}}
Simplify:
\dfrac{4 x + 20 y}{x + 5 y}
\dfrac{2 x - 6 y}{x - 3 y}
\dfrac{x - 2}{2 - x}
\dfrac{5 y - 30}{6 - y}
\dfrac{2 x + 6}{x^{2} + 3 x}
\dfrac{8 - 2 x}{5 x^{2} - 20 x}
\dfrac{10 x - 15}{2 x^{3} - 3 x^{2}}
\dfrac{8 - 2 x y}{x^{2} y - 4 x}
\dfrac{12 m^{2} + 6 m n}{18 m n + 36 m^{2}}
Simplify:
Simplify:
\dfrac{m^{2} - 16}{m - 4}
\dfrac{m^{2} - 64}{8 + m}
\dfrac{x - 10}{x^{2} - 100}
\dfrac{a^{2} - 121}{11 - a}
Simplify:
\dfrac{8 \left(p - q\right)^{2}}{8 p^{2} - 8 q^{2}}
\dfrac{x + 10}{x^{2} + 20 x + 100}
\dfrac{x^{2} - 4 x + 4}{7 \left(x - 2\right)}
\dfrac{x^{2} + 8 x + 15}{x + 5}
\dfrac{x + 5}{x^{2} + 2 x - 15}
\dfrac{3 x^{2} - 18 x - 216}{4 \left(x + 6\right)}
\dfrac{3 y + 6}{y^{2} - 4}
\dfrac{m^{2} - 16}{5 m + 20}
\dfrac{x^{2} + 6 x + 9}{x^{2} - 9}
\dfrac{x^{2} - 3 x - 10}{x^{2} - 5 x}
\dfrac{x^{2} + 5 x + 6}{x^{2} - 2 x - 8}
\dfrac{8 \left(x + 3\right)}{5 x^{2} + 30 x + 45}
\dfrac{\left(x + 3\right) \left(x - 11\right)}{x^{2} - 18 x + 77}
\dfrac{4 x^{2} + 8 x - 192}{2 x + 16}
Simplify:
\dfrac{x y + 10 x + 9 y + 90}{x + 9}
\dfrac{5 \left(x - 12\right)}{x y + 6 x - 12 y - 72}
\dfrac{y - 8}{3 x y - 24 x - 30 y + 240}
\dfrac{5 x y - 20 x + 40 y - 160}{8 \left(y - 3\right) \left(y - 4\right)}
\dfrac{w x y + w x z}{w y + w z + x y + x z}
\dfrac{x^{2} - x y + x z - y z}{x^{2} - 2 x y + y^{2}}
Simplify the following algebraic fraction:\dfrac{5 \left(k^{2} - 5\right)^{4} + 20 k \left(k^{2} - 5\right)^{5}}{15 \left(k^{2} - 5\right)^{4}}