Elements of Algebra

88 ELEMENTS SECT. II. $a^2-2ab+4b^2)a^4+4a^2b^2+16b^4(a^2+2ab+4b^2$ $a^4-2a^3b+4a^2b^2$ $2a^3b+16b^4$ $2a^3b-4a^2b^2+8ab^3$ $4a^2b^2-8ab^3+16b^4$ $4a^2b^2-8ab^3+16b^4$ $0$. $a^2-2ab+2b^2)a^4+4b^4(a^2+2ab+2b^2$ $a^4-2a^3b+2a^2b^2$ $2a^3b-2a^2b^2+4b^4$ $2a^3b-4a^2b^2+4ab^3$ $2a^2b^2-4ab^3+4b^4$ $2a^2b^2-4ab^3+4b^4$ $0$. $1-2x+x^2)1-5x+10x^2-10x^3+5x^4-x^5(1-3x+3x^2-x^3$ $1-2x+x^2$ $-3x+9x^2-10x^3$ $-3x+6x^2-3x^3$ $3x^2-7x^3+5x^4$ $3x^2-6x^3+3x^4$ $-x^3+2x^4-x^5$ $-x^3+2x^4-x^5$ $0$. CHAP. V. *Of the Resolution of Fractions into Infinite Series*.\* 289. When the dividend is not divisible by the divisor, \* The Theory of Series is one of the most important in all the mathematics. The series considered in this chapter were dis-