This document contains mathematical expressions and equations involving variables such as x, a, and expressions such as fractions, exponents, and operations including addition, subtraction, and multiplication. It appears to be working through steps to find the lowest common denominator or greatest common factor of various expressions.

1. 8.-
= = =
9. _2x+1_ – __x2___+ _2x__
12x+8 6x+x-2 16x-8
m.c.m= 8 (3x+2) (2x-1)
12x+8= 4(3x+2)
6x+x-2= (3x+2)(2x-1)
16x-8= 8(2x-1)
= 2(2x+1)(2x-1) -8x2 + 2x (3x+2)
8 (3x+2) (2x-1)
= 8x2 – 2 - 8x2 + 6x2 + 4x
8 (3x+2) (2x-1)
= __6x2 + 4x – 2__
8 (3x+2) (2x-1)
=__2(3x2 +2x -1)_ =__3x2 + 2x – 1__
8 (3x+2) (2x-1) 4 (3x+2) (2x-1)
10. _1 - ____1____ + _1_ mcm=ax (a+x)
ax a2 + ax a+x
a+x-x+ax = _ax+a__ = _a(x+1)_ =
ax(a+x) ax(a+x) ax(a+x)

2. __x+1__
ax(a+x)
11.-
m. c. m.

3. 12.-
=
13.- + - =
+ - = 1. (a+6)(a-4) M.C. D.
2. (a-4)(a+2) = (a+2)(a-4)(a+6)
3. (a+6)(a+2)
= =
14.-
xy=(x)(y)

4. 15.-
a3 + a+3 - a-1 m.c.m: (a+1) ( a2-a+1)
a3+1 a2-a+1 a+ a3+1= (a+1) ( a2-a+1)
a2-a+1= NO HAY= a2-a+1
a+1=NO HAY= a+1
a3 + a+3 - a-1 =
(a+1) ( a2-a+1)
a3 + a2+4a+3 -(a3 -2a2 -2a-1) =
(a+1) ( a2-a+1)
a3 + a2+4a+3 -a3 +2a2 -2a + 1 =
(a+1) ( a2-a+1)
3a2 + 2a +4 =
(a+1) ( a2-a+1)
R= 3a2 + 2a +4

5. a3+1