tell whether these pairs of expressions are equivalent.

Question

3+14(x-5)+1 and 14(x-5)+4

Answer 1

To determine if these pairs of expressions are equivalent, we can simplify both expressions and see if they yield the same result.

Let's simplify the first expression:

3 + 14(x-5) + 1
= 3 + 14x - 70 + 1 (distributing the 14)
= 14x - 66

Now let's simplify the second expression:

14(x-5) + 4
= 14x - 70 + 4 (distributing the 14)
= 14x - 66

As we can see, both expressions simplify to 14x - 66. Therefore, the pair of expressions are indeed equivalent.