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Answer :
Final answer:
The question in discussion asks to simplify an algebraic expression. The problem was worked through step by step by distributing the terms and combining like terms.
Explanation:
This question falls under Algebraic expressions and it requires simplifying the provided expression. The initial expression given is 6(5r-11)(5-r). The first step is to distribute the terms inside of each parentheses by the exterior multiplier. This results in the expression: 30r - 66 - 30r + 6r. Simplifying this equation by combining like terms gives us -36r - 66. There seems to be a misunderstanding in the provided options, as none of them matches the correct calculated value.
To simplify the expression 6(5r-11)(5-r), we need to apply the distributive property and combine like terms. First, distribute the 6 to both terms inside the parentheses:
6 * 5r = 30r
6 * -11 = -66
This simplifies the expression to:
30r(5-r)-66
Next, distribute the 30r to both terms inside the parentheses:
30r * 5 = 150r
30r * -r = -30r^2
This simplifies the expression further to:
150r - 30r^2 - 66
The final result didn't match any of the given options, indicating a possible error in the question
Therefore, the equivalent expression is 150r - 30r^2 - 66. So, the answer is a. 150r - 30r^2 - 66.
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