Question

x¹²y⁴-x⁴y¹² factorise it please tell me correct answer ​

Answer 1

Answer:

x¹²y⁴ - x⁴y¹²

x⁴y⁴ (x⁸ - y⁸)

x⁴y⁴ (x⁴ + y⁴) (x⁴ - y⁴)

x⁴y⁴ (x⁴ + y⁴) (x² + y²) (x² - y²)

x⁴y⁴ (x⁴ + y⁴) (x² + y²) (x + y) (x - y)

Step-by-step explanation:

^12 y^4 - x^4 y^12

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= x^4 y^4 ( x^8 - y^8 )

= x^4 y^4 [ (x^4 )^2 - ( y^4 )^2 ]

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use identiy : a^2 - b^2 = ( a - b ) ( a + b )

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= x^4 y^4 ( x^4 - y^4 ) ( x^4 + y^4 )

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= x^4 y^4 [ ( x^2)^2 - (y^2)^2 ] ( x^4 + y^4 )

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= x^4 y^4 (x^2 - y^2 ) ( x^2 + y^2 ) ( x^4 + y^4 )

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= x^4 y^4 ( x - y ) ( x + y ) ( x^2 + y^2 ) ( x^4 + y^4 )

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