Simplifying the Expression: 3a(a+4)-2a+7
In algebra, simplifying expressions is an essential skill that can help us solve equations and manipulate formulas more efficiently. In this article, we will simplify the expression 3a(a+4)-2a+7.
Step 1: Expand the Expression
To start, we need to expand the expression by multiplying the terms inside the parentheses.
3a(a+4) = 3a² + 12a
So, the expression becomes:
3a² + 12a - 2a + 7
Step 2: Combine Like Terms
Next, we need to combine the like terms. In this case, we have two terms with the variable a, which are 12a and -2a.
Combine the like terms:
12a - 2a = 10a
Now, the expression becomes:
3a² + 10a + 7
Simplified Expression
The simplified expression is:
3a² + 10a + 7
Therefore, we have successfully simplified the expression 3a(a+4)-2a+7.
Conclusion
In conclusion, simplifying algebraic expressions can be a straightforward process if we follow the correct steps. By expanding the expression, combining like terms, and rearranging the terms, we can simplify complex expressions into more manageable forms.
