Simplify:
(i) 2x
2 (x3
-x) – 3x (x4 + 2x) – 2 (x4
– 3x2
)
(ii) x3
y (x2
-2x) + 2xy (x3
– x
4
)
(iii) 3a2 + 2 (a+2) – 3a (2a+1)
(iv) x (x+4) + 3x (2x2
-1) + 4x2 + 4
(v) a (b-c) – b (c-a) – c (a-b)
(vi) a (b-c) +b (c-a) + c (a-b)
(vii) 4ab (a-b) – 6a2 (b-b2
) -3b2 (2a2
-a) + 2ab (b-a)
(viii) x2 (x2 + 1) – x
3 (x + 1) – x (x3
-x)
(ix) 2a2 + 3a (1 – 2a3
) + a (a + 1)
(x) a2
(2a - 1) + 3a + a3
-8
(xi) 3/2x2 (x2
-1) + 1/4x2 (x2 + x) - 3/4x (x3
-1)
(xii) a2
b (a-b2
) + ab2
(4ab – 2a2
) – a3
b(1-2b)
(xiii) a2
b (a3
-a + 1) - ab(a4
– 2a2 + 2a) – b(a3
-a2
-1)