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Simplifying Algebraic Expressions: (3x/5y)(y^2/6x)
This article will walk you through the process of simplifying the algebraic expression (3x/5y)(y^2/6x).
Understanding the Expression
The expression (3x/5y)(y^2/6x) represents the multiplication of two fractions:
- 3x/5y: This fraction has 3x as the numerator and 5y as the denominator.
- y^2/6x: This fraction has y^2 as the numerator and 6x as the denominator.
Simplifying the Expression
To simplify this expression, we can follow these steps:
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Multiply the numerators: (3x * y^2) = 3xy^2
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Multiply the denominators: (5y * 6x) = 30xy
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Combine the results: (3xy^2) / (30xy)
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Simplify by canceling common factors: Both the numerator and denominator have '3x' and 'y' as factors. Canceling these, we get: (y/10)
Final Result
Therefore, the simplified form of the expression (3x/5y)(y^2/6x) is y/10.