Question

tell whether this pair of expressions is equivalent
3(4-2z)-4z and -4z+3(4-2z)

Answer 1

how are they equivalent

Answer 2

Yes, these two expressions are equivalent.

Answer 3

To show that the two expressions are equivalent, we can simplify both expressions and verify that they will yield the same result when computed.

Let's simplify the expression 3(4-2z)-4z:
3(4-2z) - 4z
= 3*4 - 3*2z - 4z
= 12 - 6z - 4z
= 12 - 10z

Now, let's simplify the expression -4z + 3(4-2z):
-4z + 3(4-2z)
= -4z + 3*4 - 3*2z
= -4z + 12 - 6z
= 12 - 6z - 4z
= 12 - 10z

As we can see after simplification the two expressions are equivalent as they yield the same result which is 12 - 10z.