"Simplify (x - 2y )^3- (x + 2y )3"
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Answer:
(-12x²y-16y³)
Step-by-step explanation:
We know that;
(a-b)³=a³-3a²b+3ab²-b³
Similarly,(a+b)³=a³+3a²b+3ab²+b³
So,
(x-2y)³-(2+2y)³
=[x³-{3×x²×2y}+{3×x×(2y)²}-(2y)³] - [x³+{3×x²×2y}+{3×x×(2y)²}+(2y)³]
=[x³-6x²y+12xy²-8y³]-[x³+6x²y+12xy²+8y³]
=x³-6x²y+12xy²-8y³-x³-6x²y-12xy²-8y³
= -12x²y-16y³
(ans)
I hope my answer is helpful for you.....
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