Simplifying Algebraic Expressions: (7x)(2xy)
This article will guide you through simplifying the algebraic expression (7x)(2xy).
Understanding the Basics
Before diving into the simplification, let's recall some fundamental concepts:
 Coefficients: These are numerical values that multiply variables. In our expression, we have 7 and 2.
 Variables: These are letters that represent unknown values. Here, we have x and y.
 Exponents: These indicate how many times a variable is multiplied by itself.
Simplifying the Expression

Commutative Property: We can rearrange the terms within multiplication without affecting the result. So, we can rewrite the expression as: 7 * 2 * x * x * y.

Multiplication of Coefficients: Multiply the numerical coefficients together: 7 * 2 = 14.

Multiplication of Variables: Multiply the variables with the same base by adding their exponents: x * x = x².

Combining Results: Putting it all together, we get: 14x²y.
Final Result
Therefore, the simplified form of (7x)(2xy) is 14x²y.
Key Takeaways
 Simplifying algebraic expressions involves combining like terms and applying the basic rules of arithmetic.
 Understanding the commutative property and the rules for multiplying variables with exponents is crucial.
 Remember to always combine coefficients and variables with the same base.