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"Simplify (x - 2y )^3- (x + 2y )3" |
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Answer» 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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