d4 - 22d2 + 21 factorise completely
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Step-by-step explanation:
d⁴ - 22d² + 21
= d⁴ - 21d² - d² + 21
=d²(d² - 21) - 1(d² - 21)
=(d² - 21)(d² - 1)
=(d² - 21){(d)² - (1)²}
=(d² - 21)(d + 1)(d - 1). [ a² - b² = (a + b)(a - b)]
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