x⁴-(x-z)⁴ solve and show steps using identities
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Step-by-step explanation:
x⁴ - (x -z )⁴
(x²)² - ((x -z)²)²
[x² - (x-z)² ] [x² + (x-z)²]
[x-(x-z)] [ x+(x-z)] [ x² + x² -2xz +z²]
z(2x + z)( 2x² - 2xz + z²)
The whole question has been solved using two identies :
a² -b² == (a-b)(a+b)
(a+b)²== a² + 2ab +b²
Thankyou !
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