(x%2B4)-answer.jpeg "(x+3)(x+4) Answer")
Expanding the Expression: (x+3)(x+4)
In algebra, expanding an expression means multiplying the terms inside the parentheses and combining like terms. In this article, we will explore how to expand the expression (x+3)(x+4).
The Formula
To expand the expression, we need to follow the distributive property of multiplication over addition, which states that:
a(b + c) = ab + ac
In our case, we have:
(x + 3)(x + 4)
Expanding the Expression
To expand the expression, we will multiply each term inside the first parentheses with each term inside the second parentheses.
= (x)(x) + (x)(4) + (3)(x) + (3)(4)
Simplifying the Expression
Now, let's simplify the expression by combining like terms.
= x^2 + 4x + 3x + 12
= x^2 + 7x + 12
The Final Answer
The expanded form of the expression (x+3)(x+4) is:
x^2 + 7x + 12
This is the final answer. By expanding the expression, we have simplified it into a more usable form, which can be used to solve equations and other algebraic problems.
