Elements of Algebra

CHAP. X. OF ALGEBRA. 35 9. Required the product of $x$, $\frac{x+1}{a}$, and $\frac{x-1}{a+b}$. Ans. $\frac{x^3-x}{a^2+ab}$. 10. Required the quotient of $\frac{x}{3}$ divided by $\frac{2x}{9}$. Ans. $1\frac{1}{2}$. 11. Required the quotient of $\frac{2a}{b}$ divided by $\frac{4c}{d}$. Ans. $\frac{ad}{2bc}$. 12. Required the quotient of $\frac{x+a}{2x-2b}$ divided by $\frac{x+b}{5x+a}$. Ans. $\frac{5x^2+6ax+a^2}{2x^2-2b^2}$. 13. Required the quotient of $\frac{2x^2}{a^3+x^3}$ divided by $\frac{x}{x+a}$. Ans. $\frac{2x^2+2ax}{x^3+a^3}$. 14. Required the quotient of $\frac{7x}{5}$ divided by $\frac{12}{13}$. Ans. $\frac{91x}{60}$. 15. Required the quotient of $\frac{4x^2}{7}$ divided by $5x$. Ans. $\frac{4x}{35}$. 16. Required the quotient of $\frac{x+1}{6}$ divided by $\frac{2x}{3}$. Ans. $\frac{x+1}{4x}$. 17. Required the quotient of $\frac{x-b}{8cd}$ divided by $\frac{3cx}{4d}$. Ans. $\frac{x-b}{6c^2x}$. 18. Required the quotient of $\frac{x^4-b^4}{x^2-2bx+b^2}$ divided by $\frac{x^2+bx}{x-b}$. Ans. $x+\frac{b^2}{x}$. D 2