To determine which pairs of expressions are equivalent, let's simplify or rewrite each expression.
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8⋅c + 40 and 8(c−5):
- 8(c - 5) = 8c - 40.
- So, 8c + 40 is not equal to 8(c - 5).
- These expressions are not equivalent.
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6(y + 3) and 6⋅y + 3:
- 6(y + 3) = 6y + 18.
- So, 6(y + 3) is not equal to 6y + 3.
- These expressions are not equivalent.
-
12⋅t + 6 and 12(t+12):
- 12(t + 12) = 12t + 144.
- So, 12t + 6 is not equal to 12(t + 12).
- These expressions are not equivalent.
-
−5(a−1) and −5⋅a−5:
- −5(a - 1) = -5a + 5.
- -5⋅a - 5 = -5a - 5.
- So, -5(a - 1) is not equal to -5⋅a - 5.
- These expressions are not equivalent.
Final Conclusion: None of the given pairs of expressions are equivalent.