441,000 views
23 votes
23 votes
Drag each tile to the correct box. Not all tiles will be used.Consider the difference below. x-3/x^2-x-6 - 5/8xPlace the steps require to simplify the given difference of two expressions into one, simplified rational expression in the correctorder.

User Saturn
by
2.6k points

1 Answer

13 votes
13 votes

Given the expression:

x - 3 - 5

x² - x - 6 8x

We are to find the steps require to simplify the given difference of the two expressions into one.

Factor the expression:

x - 3 - 5

(x - 3)(x + 2) 8x

Reduce the fraction: 1 - 5

x + 2 8x

Rewrite fractions using the Least Common Denominator:

8x - 5(x + 2)

8x(x + 2)

Apply the Distributive property in the numerator or denominator:

8x - (5x + 10)

8x(x + 2)

Remove the parenthesis for addition or subtraction:

8x - 5x - 10

8x(x + 2)

Combine like terms:

3x - 10

8x(x + 2).

User Laydee
by
3.0k points