Simplify each of the following:

(i)


(ii)


(iii)


(iv)


(v)

(i)


= x2 - 3x2 – 3x + 5x + 5 - 7


= (2x2 – 3x2) - (6x + 5x) +


= x2 - +


= x2 - x +


(ii)


= 5 – 3x + 2y – 2x + y – 3x + 7y – 9


= - 8x + 10y – 4


(iii)


= x2y + x2y - xy2 - xy2 + xy + xy


= (165x2y + 2x2y) + (-126xy2 – 4xy2) +


= x2y - xy2 + xy


= x2y - xy2 + xy


(iv)


= y2 – 2y2 - y2 - y - y - y + 11 + 3 – 2


= (y2 – 6y2 + 2y2) - (4y – y – 2y) + 14 – 2


= y2 - y + 12


= -y2 – y + 12


(v)


= a2b2c - a2b2c + ab2c + ab2c - abc2 - abc2 + a2bc


= a2b2c + ab2c - abc2 + a2bc


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