The two expressions that are equivalent to (-8)(-12)(2) are D. (-8)(-24) and (-16)(-12)
Recall the following rules:
[tex]-\times - = +\\- \times + = -\\+ \times + = +[/tex]
Applying the above rules, first determine the value of the given expression, (-8)(-12)(2), then find which two expressions has value equivalent to the given expression.
Thus:
[tex](-8)(-12)(2) = -8 \times -12 \times 2 = 192[/tex]
Find which of the options has same value as 192.
Option A:
[tex](-96)(2) = -96 \times 2 = -192\\(-8)(-24) = -8\times -24 = 192[/tex]
One of the expressions of this option is not equivalent to 192, so this is not the answer.
Option B:
[tex](-8)(-24) = -8 \times -24 = 192\\(-1)(192) = -1 \times 192 = -192[/tex]
One of the expressions of this option is not equivalent to 192, so this is not the answer.
Option C:
[tex](-96)(2) = -96 \times 2 = -192\\(-1)(192) = -1 \times 192 = -192[/tex]
Both of the expressions of this option are not equivalent to 192, so this is not the answer.
Option D:
[tex](-8)(-24) = -8 \times -24 = 192\\(-16)(-12) = -16 \times -12 = 192[/tex]
Both of the expressions of this option are equivalent to 192.
Therefore the expressions that are equivalent to (-8)(-12)(2) are D.(-8)(-24) and (-16)(-12).
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