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ALGEBRA ALGEBRA 4 4 4 8 8 1-X8 (1) 2x2 +2 - 2x2 + 2 (x2 - 1)(x2 + 1) (2) 1000 -1 4 х +1 1 +48 X+ +1 + 6 8 (3) 6 1- x8 (4) 1+x8 4(x4 + 1) – 4(x4 - 1)_4x4 + 4 - 4x4 + 4 (x4 - 1)(x4 + 1) = x8-1 8 X 1 1 1 2 4 + + + 1-X 1+X 1 + x2 1 + x4 X Sol. (1) y 2xy + + 7. The simplified form of 2 is: X - y x+y y2 - x (2) - 1 1 1 [D-x+x]* * * * + .. 2 4 + + 1+ x2 1+x4 (1) 1 = X + x² + y (4) x2 - y2 y? (3) x + y 1+x+1-x 2 4 + 1-x2 1+x2'1+x4 + 9 2 2 4 + 1-x2 1 + x2 '1+ x4 х y 2xy + + X-Y x + y ya + Sol. (1) 2 -X = 2 + 2 + -x2 x(x + y)+ y (x - y) (x - y)(x + y) 4 1+x4 + 2xy (x2 - y2) 1 + x2 - X 2(1 + x2)+2(1-x²) 4 + (1 - x2)(1 + x2) 1+x4 x2 + xy + yx - y2 x² - y² 2xy x2 - y2 11 - 2+2x2 +2 - 2x2 4 + 1-x4 1+ x4 4 4 + 1-x4'1+x4 x2 + 2xy - y2 x² - y² 2 xy x2 - y2 4x4 8 - 4(1 + x4) + 4(1 – x4) 4+ 4x4 + 4- (1 – x4) (1 + x4) 1-x8 , = 1 2 x2 + 2xy - y2 - 2xy x2 - y2 -yº - 1-48 x2-y? 2 .2 - X 1:fod form of The simnlified form of ...
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