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5 votes
Simplify the expression

x2 − 5x + 6 / x − 3
to lowest terms, and identify the value(s) of x that must be excluded to avoid
division by zero.

User Sublucent
by
6.6k points

1 Answer

4 votes

Answer:


(x^3-7x^2+15x+6)/(x-3)

Explanation:


x^2-5x+(6)/(x-3)

applying the minimum common multiple for each term

minimum common multiple: common and not common with its greatest exponent.

It is divided by the denominator and multiplied by the numerator


((x^2.(x-3))-(5x.(x-3))+6)/(x-3)

apply distributive property


(x^3-3x^2-5x^2+15x+6)/(x-3)

group similar terms


(x^3-7x^2+15x+6)/(x-3)

User Karol S
by
5.7k points