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

Question

Mathematics

Emilia Chang

5 December, 20:35

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

+2

Answers (1)

Know the Answer?

Aedan Krueger · Answer 1

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 or special form is created.