Factor 2(3x - 6)
Understand the Problem
The question is asking us to factor the expression 2(3x - 6), which involves identifying common factors and rewriting it in a factored form.
Answer
The factored form is $6(x - 2)$.
Answer for screen readers
The factored form of the expression $2(3x - 6)$ is $6(x - 2)$.
Steps to Solve
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Identify the common factor
Look at the expression $2(3x - 6)$. Notice that we can factor the expression inside the parentheses, which is $(3x - 6)$. The terms $3x$ and $-6$ share a common factor of $3$. -
Factor out the common factor of the expression inside the parentheses
We can rewrite the expression $3x - 6$ as:
$$3(x - 2)$$
So now our expression becomes:
$$2(3(x - 2))$$ -
Rearrange the expression
We can combine the constants outside the parentheses:
$$2 \cdot 3(x - 2)$$
This simplifies to:
$$6(x - 2)$$
Thus, the factored form of the original expression is:
$$6(x - 2)$$
The factored form of the expression $2(3x - 6)$ is $6(x - 2)$.
More Information
Factoring expressions is a key skill in algebra that helps simplify equations and solve for variables. The process of identifying common factors is often useful in polynomial expressions and can apply to many different types of math problems.
Tips
- Not recognizing that $3$ is a common factor of $3x$ and $-6$.
- Forgetting to write the factored form clearly after factoring out common numbers.
