6. Simplify:
() ab(a - b) + b (a - 2b)
(i) - 6x (xy + 2y) - 3y2 (2x2 + y)
(ii) 2x(x - y) - 3y(xy + 2x) - xy(x + y)
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Step-by-step explanation:
(i) ab(a - b) + b (a - 2b)
= (a^2)b - a(b^2) + ab -2b^2
(ii) -6x (xy + 2y) - 3y^2 (2x^2 + y)
= -6(x^2)y - 12xy - 6 x^2 y^2 - 3y^3
(iii) 2x(x - y) - 3y(xy + 2x) - xy(x + y)
= 2x^2 - 2xy - 3xy^2 - 6xy - (x^2)y - xy^2
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