Example 8 - Factorise m^4 - 256 - Chapter 14 Class 9 NCERT Book

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Example 8 Factorise š‘š^4 – 256 š‘š^4 – 256 = (š‘š^2 )^2 āˆ’ 怖(16)怗^2 Using š‘Ž^2 āˆ’ š‘^2 = (a + b) (a āˆ’ b) Here š‘Ž=š‘š^2 and b = 16 = (š‘š^2+16) (š‘š^2āˆ’16) = (š‘š^2+16) (š‘š^2 āˆ’ 4^2 ) Using š‘Ž^2 āˆ’ š‘^2 = (a + b) (a āˆ’ b) Here š‘Ž=š‘š and b = 4 = (š‘š^2+16) (š‘š+4) (š‘š āˆ’ 4) = (š’Ž āˆ’ šŸ’) (š’Ž+šŸ’) (š’Ž^šŸ+šŸšŸ”)

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