(2x+3y)+(4x+9y)

Jasonbradley

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Jun 16, 2024

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Simplifying Expressions: (2x + 3y) + (4x + 9y)

This expression involves combining like terms, a fundamental concept in algebra. Let's break it down:

Understanding Like Terms

Like terms are terms that have the same variable(s) raised to the same power. In our expression:

• 2x and 4x are like terms (both have 'x' to the power of 1)
• 3y and 9y are like terms (both have 'y' to the power of 1)

Combining Like Terms

To simplify the expression, we combine the coefficients of the like terms:

1. Combine the 'x' terms: 2x + 4x = 6x
2. Combine the 'y' terms: 3y + 9y = 12y

The Simplified Expression

Therefore, the simplified expression is 6x + 12y.

Key Point: Remember that you can only add or subtract terms that have the same variable and exponent.