simplify the expression, if possibel. state the excluded values, if any. 5x-5/10x2-25x+15

Question

Simplify the expression, if possible. State the excluded values, if any.

 

5x-5/10x²-25x+15

 

Answer 1

5x - 5=5(x - 1)

 

2x² - 5x + 3=(2x - 3)(x - 1)

 

10x² - 25x + 15=5(2x² - 5x + 3)

 

5x - 5/(10x² - 25x + 15)=

5(x - 1)/5(2x - 3)(x - 1)

 

Cancel the factors 5 and (x - 1) and we get:

1/(2x - 3)

X cannot be 3/2 because the denominator would get a zero value.