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Simplify. x^2-3x-18/x+3


x - 3

x - 6 where x -3

x - 6 where x 6

1/x+3 where x -3

Simplify x-2/x^2+4x-12

1/x+6 where x -6

1/x+6 where x -6,2

1/x+2 where x -2

x+2

Simplify 5x^3/7 x^3+x^4

5/7+x where c 0,-7

5/7+x where x -7

5/7x where x 0

5/7

Simplify x/6x-x^2

1/6-x where x 0,6

1/6-x where x 6

1/6x where x 0

1/6

Simplify x23x18x3 x 3 x 6 where x 3 x 6 where x 6 1x3 where x 3 Simplify x2x24x12 1x6 where x 6 1x6 where x 62 1x2 where x 2 x2 Simplify 5x37 x3x4 57x where c 0 class=

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absor201

Answer:

1. Option C is correct

2. Option A is correct

3. Option C is correct

4. Option B is correct

5. Option D is correct

Step-by-step explanation:

1. x^2-3x-18/x+3

Factorize the numerator

x^2-6x+3x-18/x+3

x(x-6)+3(x-6)/x+3

(x+3)(x-6)/x+3

x-6

x-6 where x≠6

Option C is correct.

2. x-2/x^2+4x-12

Factorizing the denominator

x-2/x^2+6x-2x-12

x-2/x(x+6)-2(x+6)

x-2/(x-2)(x+6)

1/x+6

1/x+6 where x≠-6

Option A is correct.

3. 5x^3/7 x^3+x^4

5x^3/7x^3+x^4

5x^3/x^3(7+x)

5/7+x

Option C is correct

5/7+x where x≠-7

4. Simplify x/6x-x^2

x/6x-x^2

x/x(6-x)

1/6-x

Option B is correct

1/6-x where x≠6

5. 2/3a * 2/a^2

Multiplying both terms

4/3a^3

Option D is correct.

4/3a^3 where a≠0

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