Which expression is equivalent to 3(–7d + 1)?
1(3d – 7)
(–7d + 1)3
3(d – 7)
–7(3d + 1)
Which expression is equivalent to 3(–7d + 1)
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Which expression is equivalent to 3(–7d + 1)?
1(3d – 7)
(–7d + 1)3
3(d – 7)
–7(3d + 1)
To find the expression equivalent to ( 3(–7d + 1) ), we can distribute the 3 to both terms inside the parentheses.
1. Distribute:
[
3 times (–7d) + 3 times 1 = –21d + 3
]
Now, we will compare ( –21d + 3 ) with the given options:
1. ( 1(3d – 7) = 3d – 7 ) (not equivalent)
2. ( (–7d + 1)3 = –21d + 3 ) (this matches!)
3. ( 3(d – 7) = 3d – 21 ) (not equivalent)
4. ( –7(3d + 1) = –21d – 7 ) (not equivalent)
Thus, the expression equivalent to ( 3(–7d + 1) ) is ( (–7d + 1)3 ).