Simplify:
[x-2/5y]^3-[x+2/5y]^3
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Step-by-step explanation:
We have,
(a−b)
3
=a
3
−b
3
−3ab(a−b)
(a+b)
3
=a
3
+b
3
+3ab(a+b)
(2x−5y)
3
−(2x+57)
3
=(8x
3
−125y
3
−30xy(2x−5y))−(8x
3
+125y
3
+30xy(2x+5y))
=8x
3
−125y
3
−60x
2
y+150xy
2
−8x
3
−125y
3
−60x
2
y−150xy
2
=−250y
3
−120x
2
y