−(a − 1)(b − 1)(c − 1) Which of the following is equivalent to the given expression? Choose one answer: a. (1 – a)(b – 1)(1 – c) b. (1 – a)(1 – b)(1 – c) c. (a – 1)(1 – b)(1 – c) d. (1 – a)(1 – b)(c – 1)
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−(a − 1)(b − 1)(c − 1) Which of the following is equivalent to the given expression? Choose one answer: a. (1 – a)(b – 1)(1 – c) b. (1 – a)(1 – b)(1 – c) c. (a – 1)(1 – b)(1 – c) d. (1 – a)(1 – b)(c – 1)
The given expression is −(a − 1)(b − 1)(c − 1). To find its equivalent expression, we’ll first simplify it.
1. Factor out the negative sign:
[
-(a – 1)(b – 1)(c – 1) = -(1 – a)(1 – b)(1 – c)
]
This occurs because ( -(x – y) = (y – x) ).
From the simplified form (-(1 – a)(1 – b)(1 – c)), we can see that it is equivalent to option b, where you have ( (1 – a)(1 – b)(1 – c) ).
Thus, the answer is b. (1 – a)(1 – b)(1 – c).
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