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Question
Simplify : ( x - 6 )( x - 4 )( x - 2 )
Solution
Using identity :
(x + a)(x + b)(x + c) = x3 + (a + b + c)x2 + (ab + bc + ca)x + abc
( x - 6 )( x - 4 )( x - 2 )
= x3 + (-6 - 4 - 2)x2 + [-6 × (-4) + (-4) × (-2) + (-2) × (-6)]x + (-6) × (-4) × (-2)
= x3 - 12x2 + (24 + 8 + 12)x - 48
= x3 - 12x2 + 44x - 48
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