Final answer:
The original expression (-7)(-15)(-5) simplifies to -525. Among the options provided, the equivalent expressions are B) (-1)(525) and (35)(-15), since both equate to -525. Option B
Step-by-step explanation:
The expression to be simplified is (-7)(-15)(-5). When simplifying this expression, we should remember the rule that multiplying two negative numbers results in a positive number. According to this rule:
(-7) multiplied by (-15) equals +105.
Now, we have 105 multiplied by (-5), which results in -525.
Next, we can look for equivalent expressions among the options provided:
A) (-7)(-75) = 525, and (7)(-75) = -525, which does not match our result.
B) (-1)(525) = -525, and (35)(-15) = -525, which are equivalent to our original expression.
C) (35)(-15) = -525, and (115)(-5) = -575, which is not equivalent.
D) (-1)(525) = -525, and (115)(-5) = -575, which is not equivalent.
Therefore, the correct answer is B) (-1)(525) and (35)(-15), as both expressions are equivalent to the original expression (-7)(-15)(-5) = -525. Option B