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sashaice [31]
3 years 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:
vovikov84 [41]3 years ago
6 0

Answer:

The simplified form is

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

Step-by-step explanation:

Given the expression

100n^2-1

we have 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 required simplified form.

Option 1 is correct

givi [52]3 years ago
5 0
Which expression is equivalent 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

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

To attempt to factor a polynomial of four or more terms with no common factor, first rewrite it in groups. Each group may possibly be separately factored, and the resulting expression may possibly lend itself to further factorization if a greatest common factor<span> or special form is created.</span>
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