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X (X + 1) + 2x (X - 1) - 3 (X X X + 1 X X - 1: Página 77

The document contains solutions to algebraic operations: 1) Factorizing and simplifying expressions. 2) Performing operations such as multiplication, division, and factorization on rational expressions.

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marioheavy90
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46 views1 page

X (X + 1) + 2x (X - 1) - 3 (X X X + 1 X X - 1: Página 77

The document contains solutions to algebraic operations: 1) Factorizing and simplifying expressions. 2) Performing operations such as multiplication, division, and factorization on rational expressions.

Uploaded by

marioheavy90
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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x 2x x (x + 1) + 2x (x 1) 3(x 2 1)

b) + 3= =
x1 x+1 x2 1

x 2 + x + 2x 2 2x 3x 2 + 3 x + 3
= = 2
x2 1 x 1

4 2(x + 1) 12(x 2) + 2x (x + 1) 12x (x 2)


c) + 4= =
x 3(x 2) 3x (x 2)

12x 24 + 2x 2 + 2x 12x 2 + 24x 10x 2 + 38x 24


= 2 =
3x 6x 3x 2 6x

5 x 3 10(x + 3) + 2x (x + 2) 3(x + 2)(x + 3)


d) + = =
x+2 x+3 2 2(x + 2)(x + 3)

10x + 30 + 2x 2 + 4x 3x 2 9x 6x 18 x 2 x + 12
= =
2x 2 + 4x + 6x + 12 2x 2 + 10x + 12

1 1 3 4x + 4 3x 2 3x 2 + 4x + 4
e) + 2 = 2 =
x x 4 4x 4x 2

x+3 x2 + 1 26 25(x + 3)(x + 1) 25(x 2 + 1) 26(x 2 1)


f) 2 = =
x1 x 1 25 (x 2 1)25

25x 2 + 75x + 25x + 75 25x 2 25 26x 2 + 26


= =
(x 2 1)25

26x 2 + 100x + 76
=
25x 2 25

Pgina 77
3. Efecta estas operaciones:
x 2 2x + 3 2x + 3
a)
x2 x+5

x 2 2x + 3 2x + 3
b) :
x2 x+5

x 2 2x + 3 2x + 3 (x2 2x + 3) (2x +3)


a) = =
x2 x+5 (x 2) (x + 5)
2x3 + 3x2 4x2 6x + 6x + 9 2x3 x2 + 9
= 2 = 2
x + 5x 2x 10 x + 3x 10
x 2 2x + 3 2x + 3 x2 2x + 3 x+5 (x2 2x + 3) (x + 5)
b) : = = =
x2 x+5 x2 2x + 3 (x 2) (2x + 3)
x3 2x2 + 3x + 5x2 10x + 15 x3 + 3x2 7x + 15
= =
2x2 + 3x 4x 6 2x2 x 6

Unidad 3. lgebra
12

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