(2t)%2F20t%5E2.jpeg "(4t^3)(2t)/20t^2")
Simplifying the Expression (4t^3)(2t)/20t^2
This article will guide you through simplifying the algebraic expression (4t^3)(2t)/20t^2.
Understanding the Expression
The expression involves multiplication and division of terms with variables and exponents. Let's break it down:
- (4t^3)(2t): This represents the multiplication of two terms: 4t^3 and 2t.
- 20t^2: This is the denominator of the expression.
- t: Represents a variable, which could be any real number.
Simplifying the Expression
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Multiply the terms in the numerator: (4t^3)(2t) = 8t^4 (Remember: When multiplying variables with exponents, add the exponents.)
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Write the expression as a fraction: The expression now becomes: 8t^4 / 20t^2
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Simplify by dividing numerator and denominator by their greatest common factor: The greatest common factor of 8 and 20 is 4. The greatest common factor of t^4 and t^2 is t^2.
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Divide the numerator and denominator by 4t^2: (8t^4 / 4t^2) / (20t^2 / 4t^2) = 2t^2 / 5
Conclusion
Therefore, the simplified form of the expression (4t^3)(2t)/20t^2 is 2t^2 / 5.