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Question
Simplify: (x + 6) (x − 4) (x − 2)
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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 − 0x2 + (−24 + 8 − 12)x + 48
= x3 − 28x + 48
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