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To simplify the given expression, let's first find a common denominator for the fractions:
x² - (3x)/(x - 4) = x² - x/(4 - x)
The common denominator is (x - 4)(4 - x). Multiplying each term by the common denominator:
(x² - (3x)/(x - 4)) * (4 - x) = (x² - x)/(4 - x)
Expanding and simplifying:
(x² - 3x) * (4 - x) = (x² - x)
Now, let's simplify further:
4x² - x³ - 12x + 3x² = x² - x
Rearranging the terms:
x³ + x² - 7x = 0
Now the expression is simplified to the equation x³ + x² - 7x = 0.
grauets14:
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