Based on the properties of operations,
The expression a+b+c(d+2) can be simplified as follows:
a+b+c(d+2)
= a+b+cd+2c (By using the distributive property)
Therefore, the expression equivalent to a+b+c(d+2) is a+b+cd+2c.
For the second question,
The expression 3−(4x+1) can be simplified as follows:
3−(4x+1)
= 3−4x−1 (By applying the distributive property with the negative sign)
= 2−4x
The expression 4−4x remains as it is.
Since 2−4x is not equal to 4−4x, the expressions 3−(4x+1) and 4−4x are not equivalent.
So, the answer is D. No, they are not because 3−(4x+1) simplifies to −1x+1, which is not equivalent to 4−4x.