Here are the essential concepts you must grasp in order to answer the question correctly.
Distributive Property
The distributive property is a fundamental algebraic principle that states a(b + c) = ab + ac. It allows us to multiply a single term by two or more terms inside parentheses. In the context of the given expression, (4r - 1)(7r + 2), we will apply this property to distribute each term in the first parentheses across each term in the second parentheses.
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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 applying the distributive property to the expression (4r - 1)(7r + 2), we will likely end up with several terms that can be combined to form a simpler expression, making it easier to interpret the result.
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Polynomial Multiplication
Polynomial multiplication involves multiplying two polynomials to produce a new polynomial. In this case, we are multiplying a binomial (4r - 1) by another binomial (7r + 2). The result will be a polynomial of degree equal to the sum of the degrees of the two polynomials being multiplied, which is essential for understanding the structure of the resulting expression.
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