X^16-y^16 solve the factor
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Step-by-step explanation:
x¹⁶-y¹⁶
= (x8)² = (y³)² - = (x³ +y³)(x² − y³)
| Since, a² — b² = (a + b)(u = b)
= (x8+y³)[(x¹)²-(3¹)²]
= (x³ +y³)(x² + y²)(x² − y¹) =
= (x³ +y³)(x¹+y¹) [(x²)² – (y²)²]
= (x³ + y²)(x¹ + y²¹) (x² + y²) (x² - y²)
= (x³ +y³)(x¹+y¹)(x² + y²)(x+y)(x - y)
Therefore.,
Factor's of x¹⁶-y¹⁶
= (x³ + ³)(x² + y²¹)(x² + y²)(x+y)(-1)
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