Expresiones Algebraicas

Tarea N#1

EN LAS EXPRESIONES SIGUIENTES, EFECTÚE LAS OPERACIONES INDICADAS Y SIMPLIFIQUE LOS RESULTADOS:

1. (32)2 24351

1 . (35 )15 = 3 = 3 =3
32 2 32 2 (25 ) 2 2 10


2. X a c xb a xa b
X b xc xc


Xa cxb ab xa ab (x ab)2 x ab 2
X bc xac x bc (x bc)2 x bc



3.(1(x2+4x+3))+(3/x2-1)-(2/(x+3))
1 3 2
x2+4x+3 x2-1 x+3

1 3 2
(x+3) ( x+1) (x+1) (x-1) x+3
(x+3) (x+1) (x-1)

x-1+3x+9-2(x2-1)
(x+3) ( x+1) (x-1)

x-1+3x+9-2x2+2
(x+3) ( x+1) (x-1)

4x+10-2x2
(x+3) ( x+1) (x-1)

2(2x+5-x2)
(x+3) ( x+1) (x-1)


4.((2x2+x+1)/(2x2+10x+12))+((1x2)/(4x2+8x-12))
2x2+x+1 1-x2
2x2+10x+12 4x2+8x-12
(2x+x) (2x+x) . 4(x2+2x-3)
2(x2+5x+6) (1+x) (1-x)2222

2x2+x+1 . 4(x+3) (x-1)
2(x+3) (x+2) (1+x) (1-x)
1
2x2+x+1 . (2x-2)
(x+2)(1-x2)
4x3-4x2+2x2-2x+2x
x-x3+2+2x2
4x3-2x2-2
-x3-2x2+x-2
2(2x3-x2-1)
-x3-2x2+x+2

5. (x+2)+(3/(x-2)))+(x-6+(7/(x+2)))

X+2+ 3 ÷ x-6 + 7
x-2 x+2
X(x-2)+2(x-2)+3 ÷ x(x+2)-6(x+2)+7
x-2 x+2
X2-1 . x+2x-2 x2-4x-5

(x+1) (x-1) . x+2
x-2 (x-5) (x+1)
(x-1) (x+2)
(x-2) (x-5)
X2+2x-x-2
x2-5x-2x+10