Question

What is the simplified form of the quantity 9x² - 25 / (3x - 5)?

1) 3x - 5, with the restriction x ≠ 5/3
2) 3x + 5, with the restriction x ≠ -5/3
3) 3x - 5, with the restriction x ≠ -5/3
4) 3x + 5, with the restriction x ≠ 5/3

Answer 1

The simplified form is 3x + 5, with the restriction x ≠ -5/3.

Step-by-step explanation:

The simplified form of the expression 9x² - 25 / (3x - 5) is 3x + 5, with the restriction x ≠ -5/3.

To simplify the expression, we can factor the numerator as the difference of squares: 9x² - 25 = (3x + 5)(3x - 5). Then, we can cancel out the common factor of 3x - 5 in the numerator and denominator.

Therefore, the simplified form is (3x + 5)/(3x - 5) with the restriction x ≠ -5/3.