Simplifying Rational Expressions (11.1)

Simplify

2x-6
4

x-6

x-3

x-3

x-6

2
2

x

4

Simplify

x+4

already in simplest form

x + 4

x

3m-12

Simplify

3m

 m

-1

m-4

4

-1

-12

12

Simplify

4x2-2x

2x

4x2

-1

2x-1

x(x-2)

-3x

Simplify

-18x2

-3x2

12x

2x

-3x

2

3x

2

Simplify

3x2-18x

 9x2

already in

simplest form

3x(x-6)

3(x-6)

  x-6

3x
x

1

 x2-6x+9

Simplify

x2-9

  x+3

x-3

x-3

x+3

already in

simplest form

Simplify

 Completely

3(x+2)

3(x-2)

x+4
x+2

3(x2-4)

3(x-2)

x2-2x-8

3x2-12

x-4

x-4

Simplify

 Completely

 x+4

1

  

3

3(x+4)

3(x+4)

1

3

x2+8x+16

3x+12

Simplify

 Completely

x+4

  x-4

x+3

x+3

x2+2x-15

x2+x-20

   x-3

   x-4

x+4

x-3

x2+25

Simplify

 Completely

2(x+5)

   x+5

2(x+1)

  x+5

2

2x+10

x2+25

  2(x+5)

Simplify

 Completely

1

-1

0

already in simplest form

x-5

x-5

Simplify

 Completely

1

-1

0

already in simplest form

x-5

x+6

Simplify

 Completely

1

-1

0

already in simplest form

x-9

9-x

Simplify

 Completely

  x+3

  x+3

x+2

x-2

x2-5x+6

x2-9

   x-3

 x-3

x-2

x+2

Simplify

  x-1

   1-x

x+1
(x-1)2

 x2-1

1-x

-1(x+1)

 -

x+1

1

Simplify

   2

2x

x2+5x
x+5

 x2+5x+6

6+2x

   2

   2

x+3

x+2

Simplify

   1

 -1

x-4

  x-4

 x2-7x+12

3-x

   1

   -1

x+4

x+4

 -1

-2x

Simplify

   x+3

   x-3

x+3

x-3

 2x2-7x+3

2x2+5x-3

Simplify

   4m-6

m+4

m+2

m2+3m-4

m2+m-2

   m-1

   2

m+2
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