What is 2x times 2x?
Understand the Problem
The question is asking for the multiplication of two algebraic expressions, specifically 2x multiplied by 2x. The approach to solve this involves using basic multiplication rules for algebra.
Answer
\(4x^2\)
Answer for screen readers
The final answer is (4x^2).
Steps to Solve
-
Set Up the Expression We need to multiply the two algebraic expressions: (2x) and (2x).
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Multiply the Coefficients First, we multiply the coefficients (the numbers in front of the variables):
$$ 2 \times 2 = 4 $$
- Multiply the Variables Next, we multiply the variable parts:
$$ x \times x = x^2 $$
- Combine the Results Now, we combine our results to get the final expression:
$$ 4 \cdot x^2 = 4x^2 $$
The final answer is (4x^2).
More Information
The expression (4x^2) represents a quadratic term, which can be commonly encountered in various mathematical problems. This type of multiplication is also used in factoring and expanding polynomials.
Tips
- Forgetting to multiply both the coefficients and the variables separately. Always remember to treat coefficients and variables distinctly.
- Miswriting the variable part, for example, writing (x) instead of (x^2). Make sure to apply the rule that multiplying variables of the same base adds their exponents.
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