Math, asked by sivarenuka8024, 15 days ago

X^16-y^16 solve the factor

Answers

Answered by sonprodigal
0

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)

\huge{ son \: prodigal}

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