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Let A=[(x+1)(x+2)2]2−[x(x+1)2]2A=\bigg[\frac{(x+1)(x+2)}{2}\bigg]^2-\bigg[\frac{x(x+1)}{2}\bigg]^2A=[2(x+1)(x+2)]2−[2x(x+1)]2 B=(x−1)(3x2−1)+∑i=1x−2i2−(x−2)(x−12)2+x(x+2)B=(x-1)(\frac{3x}{2}-1)+\frac{\displaystyle \sum_{i=1}^{x-2} i^2-(x-2)(\frac{x-1}{2})}{2}+x(x+2)B=(x−1)(23x−1)+2i=1∑x−2i2−(x−2)(2x−1)+x(x+2) Here, xxx is a positive integer. Which is bigger, AAA or 2B2B2B?
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