Question

Select the correct answer.

What
23
is the simplest form of this expression?
6
+223
=+
OA.
OB.
OC.
O D.
²+12+15
+
(z-1)(z-3)
2²+3
(z − 1)(z-3)
2²-62+3
(z-1)(z-3)
z+3
(2-1)(2-3)

Answer 1

By applying the PEMDAS rule, the simplest form of this expression include the following: D.
`(x^(2) +3)/((x-1)(x-3))`.

In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Based on the information provided, we have the following mathematical expression:

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

By taking the least common denominator and evaluating each side of the equation, we have the following;

`(x-3)/(x-1) +(6)/(x-3) \\\\((x-3)^2+6(x-1))/((x-1)(x-3)) \\\\(x^(2) -6x+9+6x-6)/((x-1)(x-3)) \\\\(x^(2) +3)/((x-1)(x-3))`

Missing information:

The question is incomplete and the missing expression is shown in the attached picture.