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Neporo4naja [7]
4 years ago
15

Complete the following: (2^21 − 1)(2^21 +1)= ______ -1

Mathematics
1 answer:
Pepsi [2]4 years ago
4 0

Answer:

the blank contains the term 2⁴²

Step-by-step explanation:

The Equation given in the question (2²¹ − 1)(2²¹ +1)

on evaluating the above expression,

we have

⇒ 2²¹ × (2²¹ + 1 ) -1 × (2²¹ + 1)

or

⇒ 2²¹⁺²¹ + 2²¹ - 2²¹ - 1²              (using the property Xᵃ × Xᵇ = Xᵃ⁺ᵇ)

or

⇒ 2⁴² + 0 - 1

or

⇒ 2⁴² - 1

on comparing the result with LHS, we have

therefore,

the blank containing the term 2⁴²

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