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Select the correct answer.

What is the simplest form of this expression?

x-3/x-1 + 6/x-3

A. x²+12x+15 / (x-1)(x-3)

B. x²+3 / (x-1)(x-3)

C. x+3 / (x-1)(x-3)

D. x²-6x+3 / (x-1)(x-3)

Select the correct answer What is the simplest form of this expression x 3 x 1 6 x 3 A x² 12x 15 x 1

Answer :

x² + 3 / (x-1)(x-3) is simplest form of the given expression

What will the expression be?

Given: x-3/x-1 + 6/x-3

First, find the LCM of x-1 and x-3. The LCM is c

(x-3)(x-3) + 6(x-1) / (x-1)(x-3)

Remove the bracket of the numerator

x² - 6x + 9 + 6x - 6 / (x-1)(x-3)

Add and subtract like terms

x² + 3 / (x-1)(x-3)

Therefore, the expression has the simplest form of x² + 3 / (x-1)(x-3). This shows the concept of expression.

Learn more about writing expression in simplest form on:

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