Factories the following 3xyz-9xy^2z^2
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Step-by-step explanation:
27x
3
+y
3
+z
3
−9xyz
=(3x)
3
+y
3
+z
3
−9xyz
=(3x)
3
+y
3
+z
3
−3×3x×y×z
using identity
a
3
+b
3
+c
3
−3abc=(a+b+c)(a
2
+b
2
+c
2
−ab−bc−ca)
Putting a=3x,b=y,c=z
=(3x+y+z)(9x
2
+y
2
+z
2
−3xy−yz−3zx).
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