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How to do the fourth calculation problem and the third problem of the seventh grade mathematics exercise in the 2009 Soviet version of "relaxed and happy summer vacation"
Original formula =-8x 6 * y 3+8x 6 * y 6

=8x^6*y^3(y^3- 1)

=8x^6*y^3(y- 1)(y^2+y+ 1)

Where "A" refers to the symbol of strength.

This problem is the remaining part after extracting the common factor formula, y 3-1= (y-1) (y 2+y+1), which is the characteristic of cubic difference formula. Its general expression is a 3-b 3 = (a-b) (a 2+.