(55)

(n+1)(n+2) ̄ ̄ (n+1)(n+2)(n+3) ̄ ̄ (n+1)(n+3) ̊

a + x

-2.

(60)

+

1

+

(x−2)(x−3) (x−1)(3−x) ̄ (x−1)(x−2)'

(77)

+

+

a+b

(78)

ab

(79)

b+c
bc

(80)

+

-b) (a + b) •

(x − b) (x−c) * (a+c)(a+b) * (a+c) (x−c)* (x−b) (a+b)

c+ a

· (a2 + b2 — c2) + · · ·
+ b + c (b2 + c2 — a2 ) + 2 + c ^ ( c2 + aa—b3).

-

a- - 26
2 (a+2b) 2b

-30

ac

1-x (1-x)(1−x2), (1-x)(1-x3) (1−x3)
1+x (1+x)(1+x) (1+x) (1+x2) (1+x3) *

+ Ꮖ

(87)

+

+

x+x2+1 x-x+1 x2-x+1°

y2-xz

(x+y)(x+z) (y+x) (y + z) (≈+x) (x + y) *

+

+

( x + z )2 − y2 * (x + y)2 − x2 + (y + z)2 — x2 •

(4)

x2+3x+2 x2+4x+3

(x+a)3 (x+b)2 ̄ ̄ (x+a)3 (x+b)2 ̄ ̄ ̄ (x + a) (x + b) *

2

+5+6

x+3°

(6) (1+xy) (1+xx) + (1+ yx) (1+ yx) + (1 + xx) (1 + xy) — 1. (x-y) (x-x) (y-x)(x-y)

(x-x) (y-x)

MULTIPLICATION OF FRACTIONS.

91. RULE. "Multiply the numerators of the fractions together for a new numerator and the denominators for a new denominator."

a

a

For if and be the proposed fractions, and we suppose =x

b

Note. In Multiplication and Division of Fractions remember always, before multiplying the factors of the new numerator and denominator, to take notice whether any of them be common to the numerator and denominator, for in that case they may be struck out.