Question

4. Simplify completely x² - 15x+36/5x – 60

X-3/5
x-12/5
x²-6/5
x²-18/5

Answer 1

Related Concepts

• Simplifying fractions
• Factoring trinomials

Solving the Question

`(x^2-15x+36)/(5x-60)`

• First, factor the trinomial in the numerator.
• Two factors of 36 that have a sum of -15 are -3 and -12:

`= ((x-3)(x-12))/(5x-60)`

• Now, factor the denominator.
• There is a common factor of 5:

`= ((x-3)(x-12))/(5(x-12))`

• Simplify the fraction.
• (x-12) appears in both the numerator and the denominator:

`= ((x-3))/(5)\\= (x-3)/(5)`

• Determine the restrictions.
• The denominator cannot equal 0.
• 
  `x\\eq12`

Answer

`(x-3)/(5)`,
`x\\eq12`