Question

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

Answer 1

Answer:

(10n)² - 1²

Step-by-step explanation:

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

100 n² − 1

= 10² * n² - 1²

= (10n)² - 1²

option 1 is correct

(10n)² − (1)² = 100n² - 1

(10n²)² − (1)² =  100n⁴ - 1

(50n)² − (1)² = 2500n² - 1

50n²)² − (1)² = 2500n⁴ - 1

Answer 2

A

100 n² − 1

= 10² * n² - 1²

= (10n)² - 1²

option 1 is correct

(10n)² − (1)² = 100n² - 1

(10n²)² − (1)² =  100n⁴ - 1

(50n)² − (1)² = 2500n² - 1

50n²)² − (1)² = 2500n⁴ - 1

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