(5x2)(3x)

Jasonbradley

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Jun 16, 2024

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Simplifying (5x²)(3x)

This expression involves multiplying two monomials, where a monomial is a term with a coefficient and variables raised to non-negative integer exponents. Here's how to simplify it:

Understanding the Properties of Multiplication

• Commutative Property: The order of multiplication doesn't affect the result. So (5x²)(3x) is the same as (3x)(5x²).
• Associative Property: We can group the factors in any way we want. So (5x²)(3x) is the same as 5(x²)(3x).

Simplifying the Expression

1. Group the coefficients and variables: 5(x²)(3x) = (5 * 3)(x² * x)
2. Multiply the coefficients: (5 * 3)(x² * x) = 15(x² * x)
3. Apply the product of powers rule: x² * x = x^(2+1) = x³
4. Combine the results: 15(x² * x) = 15x³

Therefore, the simplified form of (5x²)(3x) is 15x³.