Here are the essential concepts you must grasp in order to answer the question correctly.
Binomial Expansion
Binomial expansion refers to the process of expanding expressions that are raised to a power, particularly those in the form of (a + b)^n. The expansion can be achieved using the Binomial Theorem, which states that (a + b)^n = Σ (n choose k) * a^(n-k) * b^k, where k ranges from 0 to n. In this case, (9 - 5x)^2 is a binomial expression that can be expanded using this theorem.
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Squaring a Binomial
Squaring a binomial involves applying the formula (a - b)^2 = a^2 - 2ab + b^2. This formula allows us to find the square of a binomial expression by calculating the square of the first term, subtracting twice the product of the two terms, and adding the square of the second term. For (9 - 5x)^2, we will identify a as 9 and b as 5x to apply this formula.
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Combining Like Terms
Combining like terms is a fundamental algebraic skill that involves simplifying expressions by adding or subtracting terms that have the same variable raised to the same power. After expanding the expression (9 - 5x)^2, we will likely have multiple terms that can be simplified. This step is crucial for arriving at the final, simplified product of the expression.
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