Question

factorise using identities:x^4-(x-z) ^4​

Answer 1

Answer:

[x²+(x-z)²][2x-z]z

Explanation:

x⁴ - (x-z)⁴

= (x²)² - [(x-z)²]²

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We know the algebraic identity:

a²-b² = (a+b)(a-b)

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= [x²+(x-z)²][x²-(x-z)²]

= [x²+(x-z)²][x+x-z][x-(x-z)]

= [x²+(x-z)²][x+x-z][x-x+z)]

= [x²+(x-z)²][2x-z]z

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