What is 5^2n-3-5^2n-1+25^n-1 ?

The solution to 5^2n-3-5^2n-1+25^n-1 is 25^n-5

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simplify 5^2n-3-5^2n-1+25^n-1

simplify

5^{2} n - 3 - 5^{2} n - 1 + 2 5^{n} - 1

2 5^{n} - 5

Solution steps

5^{2} n - 3 - 5^{2} n - 1 + 2 5^{n} - 1

Group like terms

= 5^{2} n - 5^{2} n + 2 5^{n} - 3 - 1 - 1

Add similar elements:

5^{2} n - 5^{2} n = 0

= 2 5^{n} - 3 - 1 - 1

Subtract the numbers:

- 3 - 1 - 1 = - 5

= 2 5^{n} - 5

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