High Order Thinking Skills (HOTS)
36. Factorize (256x16 - 1).
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Answered by
7
(256x^16-1)
(16x^8 )^2 -(1)^2
= (16x^8+1) (16x^8-1)
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Answered by
20
Given : (256x¹⁶ - 1)
=> (16x⁸)² - (1)²
∴ a² - b² = (a + b)(a - b)
=> (16x⁸ + 1)(16x⁸ - 1)
=> (16x⁸ + 1)[(4x⁴)² - (1)²]
=> (16x⁸ + 1)(4x⁴ + 1)(4x⁴ - 1)
=> (16x⁸ + 1)(4x⁴ + 1)[(2x)² - (1)²]
=> (16x⁸ + 1)(4x⁴ + 1)(2x² + 1)(2x² - 1)
Hope this helps!
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