factories this : z⁴-(y-z)⁴
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Answered by
1
Step-by-step explanation:
4. 4
z -(y-z)
4. 4
z -y-z
4
-y
Answered by
1
Answer:
z^4-(y-z)^4
=(z^2)^2-{(y-z)^2}^2
={z^2+(y-z)^2}{z^2-(y-z)}^2
=(z^2+y^2-2yz+z^2){z+(y-z)}{z-(y-z)}
=(2z^2+y^2-2yz)(z+y-z)(z-y+z)
=(2z^2+y^2-2yz).y.(2z-y)
=y(2z-y)(2z^2+y^2-2yz)
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