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Charra
17 days ago
11

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

Mathematics
2 answers:
Inessa [9K]17 days ago
6 0

Response:

The simplified form is

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

Step-by-step process:

Given the expression

100n^2-1

we need to simplify the above expression.

Expression: 100n^2-1

10^2n^2-1^2

As a^2b^2=(ab)^2

∴ 10^2n^2-1^2

⇒ (10n)^2-1^2

which is the required simplified form.

Option 1 is the correct choice

babunello [8.4K]17 days ago
5 0
Which expression corresponds to 100 n2 − 1? (10n)2 − (1)2 (10n2)2 − (1)2 (50n)2 − (1)2 (50n2)2 − (1)2

Regroup:
100n^2-1

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

Thus, the correct answer is : 
(10n)^2-1^2

To begin factoring a polynomial with four or more terms that lacks a common factor, first organize it into groups. Each group can potentially be factored separately, and any resulting expressions may allow for additional factorization if a greatest common factor<span> or special form is established.</span>
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