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What is the simplified form of 2a - 4a + 6?

The expression 2a4a+62a - 4a + 6 can be simplified to 2a+6-2a + 6.

To simplify the expression 2a4a+62a - 4a + 6, we need to combine like terms. Like terms are those that share the same variable raised to the same power. In this case, 2a2a and 4a-4a are like terms because both contain the variable aa.

First, we combine the coefficients (the numerical parts) of the like terms. The coefficients of 2a2a and 4a-4a are 22 and 4-4, respectively. Adding these coefficients yields:

24=22 - 4 = -2

Thus, 2a4a2a - 4a simplifies to 2a-2a.

Next, we look at the constant term, which is the number without a variable. In this expression, the constant term is +6+6. Since there are no other constant terms to combine it with, it remains unchanged.

Bringing it all together, the simplified form of the expression 2a4a+62a - 4a + 6 is:

2a+6-2a + 6

This process of combining like terms is a fundamental skill in algebra, making expressions easier to manipulate and understand.

Answered by: Prof. Alan Smith
A-Level Physics Tutor
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