1 answer
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A) 12⋅t+6 and 12(t+1/2) are equivalent because they simplify to the same expression.
12⋅t+6 simplifies to 12t+6.
12(t+1/2) simplifies to 12t+6.
B) −5(a−1) and −5⋅a−5 are equivalent because they simplify to the same expression.
−5(a−1) simplifies to −5a+5.
−5⋅a−5 does not simplify any further.
C) 6(y+3) and 6⋅y+3 are not equivalent.
6(y+3) simplifies to 6y+18.
6⋅y+3 does not simplify any further.
D) 8⋅c+40 and 8(c−5) are not equivalent.
8⋅c+40 does not simplify any further.
8(c−5) simplifies to 8c-40.
Therefore, the correct answer is A) 12⋅t+6 and 12(t+1/2)