(i) If (a + b) = 7 and ab = 10, find the value of (a - b).
(ii) If (x - y) = 5 and xy = 24, find the value of (x + y).
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Using standard formulae, expand each of the following:
(i) (x - 2)(x - 3)(x + 4)
(ii) (x - 5)(2x - 1)(2x + 3)
If (3a + 4b) = 16 and ab = 4, find the value of (9a2 + 16b2).
If (a + b) = 2 and (a - b) = 10, find the values of :
(i) (a2 + b2)
(ii) ab