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
