Here are the essential concepts you must grasp in order to answer the question correctly.
Distributive Property
The distributive property states that a(b + c) = ab + ac. This principle allows us to multiply a single term by each term within a polynomial or expression. In the given question, applying the distributive property will help in multiplying 4x^2 by each term inside the parentheses, ensuring that all components are accounted for in the final product.
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Polynomial Multiplication
Polynomial multiplication involves multiplying two polynomials together, which can result in a new polynomial. Each term in the first polynomial must be multiplied by each term in the second polynomial. Understanding how to combine like terms after multiplication is crucial for simplifying the resulting expression, as seen in the example provided.
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Combining Like Terms
Combining like terms is the process of simplifying an expression by adding or subtracting terms that have the same variable raised to the same power. After multiplying polynomials, it is essential to identify and combine these terms to express the final answer in its simplest form. This step is vital for clarity and accuracy in polynomial expressions.
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