4(3+4x-2) in Expanded Form
In algebra, expanded form is a way of expressing an algebraic expression by multiplying each term inside the parentheses by the coefficient outside the parentheses. In this article, we will explore how to expand the expression 4(3+4x-2) into its expanded form.
The Given Expression
The given expression is:
4(3+4x-2)
Expanding the Expression
To expand this expression, we need to multiply each term inside the parentheses by the coefficient 4. This means that we will multiply 3, 4x, and -2 by 4.
Step 1: Multiply 3 by 4
4(3) = 12
Step 2: Multiply 4x by 4
4(4x) = 16x
Step 3: Multiply -2 by 4
4(-2) = -8
The Expanded Form
Now that we have multiplied each term by 4, we can write the expanded form of the expression as:
12 + 16x - 8
This is the expanded form of 4(3+4x-2).
Conclusion
In this article, we have learned how to expand the expression 4(3+4x-2) into its expanded form, which is 12 + 16x - 8. Expanded form is an important concept in algebra, and it is used to simplify complex expressions and equations.
