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Pulling out like terms

When simplifying algebraic expressions, one of the fundamental techniques is pulling out like terms. Like terms are those that have the same variables raised to the same powers. Here's how you can do it:

Step 1: Identify Like Terms

Scan through the expression and identify terms that have the same variables and the same powers. For example, in the expression 3x+2y5x+4y, the terms 3x and 5x are like terms because they both have the variable x raised to the power of 1.

Step 2: Combine Like Terms

Once you've identified like terms, you can combine them by adding or subtracting their coefficients. For example, in the expression 3x+2y5x+4y, combining the like terms gives us (3x5x)+(2y+4y), which simplifies to 2x+6y.

Step 3: Simplify the Expression

After combining like terms, simplify the expression further if possible. In our example, 2x+6y cannot be simplified any further because there are no more like terms to combine.

Remember, pulling out like terms is crucial for simplifying algebraic expressions and making them easier to work with.