What is the least common denominator of 4/x * -4/2x^2?
2 answers:
The least common denominator would be 2x^2 that is because you would have to multiply the first fraction by 2x but you can't just somehow simplify 2x^2, it wouldn't be right 4/x * -4/2x^2 2x*4/(2x*x) * -4/2x^2 8x /2x^2 * -4/2x^2 Then you would complete it Hope this helps :)
Answer: 2x^2 Justification: First we must make the expressions clear. It seems you are asking about the least common denominator of 4/x and - 4/ (2x^2). I will not simpligy the second denominator and will find the least common denominator of x and 2x^2. The least common factor is the simplest (smallest) factor that contain all the factors given. So, the least common denominator of both x and 2x^2 is the simplest monomial that contains them. To find that least common factor you take the product of: - least common multiple of the coefficients: in this case the coefficients are 1 and 2, so the least common coefficient is 2. - the product of the different letter raised to the highest power: in this case the only letter is x and the highest power is 2, so it is x^2 Therefore the lease common denominator is the product of 2 and x^2 which is 2x^2.
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