The only pair of equivalent expressions is the one in option C:
12x + 16x and 4(3x + 4x)
When two expressions are equivalent?
Two expressions are equivalent when we can rewrite one of them as the other.
For example, for the first option we have:
a) x + x + x and x^3
The first part can be rewritten as:
x + x + x = 3x
This is not equivalent to x^3.
b) 14x + 10 - 2x and 16x + 10
If we simplify the left side, we get:
14x + 10 - 2x = 12x + 10
This is not equivalent to 16x + 10.
c) 12x + 16x and 4(3x + 4x)
If we distribute the right side, we get:
4*3x + 4*4x = 12x + 16x
So these two expressions are equivalent.
d) 12x^2 + 5x + 10 and 17x2 + 10
Here we can see that in the left side we have a term that depends linearly on x, and on the right side don't, so these expressions are not equivalent.
If you want to learn more about equivalent expressions, you can read:
https://brainly.com/question/2972832
