factorize a^3b-a^2b^2-b^3
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Step-by-step explanation:
(4a−3b)
3
−(3a−b)
3
−(a−2b)
3
=(4a−3b)
3
+(b−3a)
3
+(2b−a)
3
Let,
x=4a−3b;y=b−3a;z=2b−a
On adding, x+y+z=0
∴x
3
+y
3
+z
3
=3xyz
Subtituting x, y, z values, we get
(4a−3b)
3
+(b−3a)
3
+(2b−a)
3
=3(4a−3b)(b−3a)(2b−a)
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