Verified Answer :

frika

You know that \(100=10^2\).

Use the property \((ab)^2=a^2\cdot b^2\) to state that

\(100n^2=10^2\cdot n^2=(10n)^2.\)

Then the expression \(100n^2-1\) is equivalent to

\((10n)^2-1=(10n)^2-1^2.\)

Answer: correct choice is A.

Answer:

The expression  100n² - 1 is equivalent to (10n)² - 1² .

Step-by-step explanation:

As given the expression in the question be as follow

= 100n² - 1

Take

= (10n)² - 1²

As

(10n)² = 100n²

1² = 1

Put in these values in the expression

=  (10n)² - 1²

= 100n² - 1

Therefore the expression  100n² - 1 is equivalent to (10n)² - 1² .

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