Question

please help everyone! do it on a page so i can understand it clearly!

Answer 1

Answer:

Here's the answer

Step-by-step explanation:

Answer 2

Answer is in the given attachment.

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Answer :

Step-by-step explanation :

Identity used while solving these questions,

( a² - b² ) = ( a + b ) ( a - b )

( a - b ) = a² + b² - 2ab

Solution :

38. ) x⁴ - ( 2y - 3z )²

⇒ ( x² )² - ( 2y - 3z )²

⇒ [ x² + ( 2y - 3z )] [ x² - ( 2y - 3z )]

⇒ ( x² + 2y - 3z ) ( x² - 2y + 3z )

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41. ) a⁴ - 16 ( b - c )⁴

⇒ ( a² )² - { 4 ( b - c )² }²

⇒ { a² + 4 ( b - c )² } { a² - 4 ( b - c )² }

⇒ { a² + 4b² + 4c² - 8bc} { a² - 4b² - 4c² + 8bc }

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44. ) xy⁹ - yx⁹

⇒ xy ( y⁸ - x⁸ )

⇒ xy [ ( y⁴ )² - ( x⁴ )² ]

⇒ xy ( y⁴ + x⁴ ) ( y⁴ - x⁴ )

⇒ xy ( y⁴ + x⁴ ) [ ( y² )² - ( x² )² ]

⇒ xy ( y⁴ + x⁴ ) ( y² + x² ) ( y² - x² )

⇒ xy ( y⁴ + x⁴ ) ( y² + x² ) ( y + x ) ( y - x )

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Thanks for the question !