Question

Which expression is equivalent to 100 n2 − 1? (10n)2 − (1)2 (10n2)2 − (1)2 (50n)2 − (1)2 (50n2)2 − (1)2

Answer 1

$100n^2-1=10^2n^2-1=(10n)^2-1^2$

Answer 2

The correct answer is:

(10n)² − (1)²

Explanation:

If we evaluate this expression, we square everything in the first set of parentheses; this means we have 10²n² - 1², or 100n² - 1.

This is the expression we were trying to equal.