1. $\frac{2a^2}{b^2c}$
2. $2(y-5)$
3. $\frac{x-5}{x-5} = 1$ (for $x \neq 5$)
4. $\frac{5(n+3)}{2(2n+4)} \cdot \frac{2(n+2)}{3(n+3)} = \frac{5}{6}$ (for $n \neq -3, -2$)
5. $\frac{x(x-2)}{6} \cdot \frac{x}{3(x-2)} = \frac{x^2}{18}$ (for $x \neq 0, 2$)
6. $\frac{(m-4)(m+2)}{8(m+3)} \cdot \frac{(m+3)(m+4)}{2(m-4)} = \frac{(m+2)(m+4)}{16}$ (for $m \neq 4, -3$)
7. $\frac{x+3}{10(x+2)} \cdot \frac{(x+1)(x+3)}{x+2} = \frac{(x+3)^2(x+1)}{10(x+2)^2}$ (for $x \neq -2, -3$)
8. $\frac{(x-4)(x+3)}{x-4} \cdot \frac{x-5}{2(x+3)} = \frac{x-5}{2}$ (for $x \neq 4, -3$)
9. $\frac{(x-6)(x+1)}{5(x+3)} \cdot \frac{7(x+3)}{(x-4)(x+1)} = \frac{7(x-6)}{5(x-4)}$ (for $x \neq -3, -1, 4$)
10. $\frac{24x^3}{25y^3} \cdot \frac{15y^2}{8x^2} = \frac{9x}{10y}$
11. $\frac{6(x-3)}{4x} \cdot \frac{2(x-3)}{x} = \frac{3(x-3)^2}{x^2}$ (for $x \neq 0, 3$)
12. $\frac{3(x+4)}{12x} \cdot \frac{48x^3}{x+4} = 12x^2$ (for $x \neq 0, -4$)
Parent Tip: Review the logic above to help your child master the concept of simplifying rational expressions worksheet.
