Simplify the following rational algebraic expressions using sum and difference of two cubes
1. (x-3)(x²+2x+9)
x³-27
2. (4x-1)(163x²+4x+1)
64x³-1
3. x3-1 x²
18(x-1)
4. x³-y3³
x² - y²
5. 27x+125y³
3x+5y
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if x = 1/(square root(2) -1 ) then prove that x^2 - 6 + 1/x^2 = 0
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1to35y33,#^"×- bdkuhqrup329
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