Rational expressions
Types of exercises: domain of a rational expression, simplifying rational expressions, multiplying rational expressions, dividing rational expressions.
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Multiply (x ≠ 3, x ≠ 6)
(x² − 3x)/(x − 6) · (x² − 36)/(x − 3)
Divide (x ≠ −4, x ≠ 0)
[(x² + 8x + 16)/(6x)] : [(x + 4)/(6x²)]
Simplify the fraction
(16x² − 1) : (4x − 1)
For which numbers is the expression not defined?
(x + 2) : (3x − 6)
Multiply (x ≠ −8, x ≠ −3)
(x² − 9)/(x + 8) · (x² + 8x)/(x + 3)
Divide (x ≠ 0, x ≠ 5)
[(x² − 10x + 25)/(5x)] : [(x − 5)/(15x²)]
Simplify the fraction
(64x² − 9) : (8x + 3)
For which numbers is the expression not defined?
(2x − 9) : (2x + 15)
Multiply (x ≠ −7, x ≠ −6)
(2x² + 14x)/(x + 6) · (x² − 36)/(x + 7)
Divide (x ≠ 0, x ≠ 7)
[(x² − 49)/(6x)] : [(x − 7)/(6x²)]
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