To simplify the given expression, we first factor the denominators of both fractions.
(x² - 10x + 15) = (x - 5)(x - 3)(x² - 6x + 15) = (x - 3)(x - 5)(x² - 12x + 15) = (x - 3)(x - 5)
So, the expression becomes:
[(x - 5)(x - 3)] / [(x - 3)(x - 5)] = 4x / [(x - 3)(x - 5)]
Now, we cancel out the common terms in the numerator and denominator:
1 / 1 = 4x / 11 = 4x
Therefore, the simplified expression is 1 = 4x.
To simplify the given expression, we first factor the denominators of both fractions.
(x² - 10x + 15) = (x - 5)(x - 3)
(x² - 6x + 15) = (x - 3)(x - 5)
(x² - 12x + 15) = (x - 3)(x - 5)
So, the expression becomes:
[(x - 5)(x - 3)] / [(x - 3)(x - 5)] = 4x / [(x - 3)(x - 5)]
Now, we cancel out the common terms in the numerator and denominator:
1 / 1 = 4x / 1
1 = 4x
Therefore, the simplified expression is 1 = 4x.