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Simplify : ( X + 6 )( X - 4 )( X - 2 ) - Mathematics

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Question

Simplify : ( x + 6 )( x - 4 )( x - 2 )

Sum

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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Chapter 4: Expansions (Including Substitution) - Exercise 4 (E) [Page 66]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 4 Expansions (Including Substitution)
Exercise 4 (E) | Q 1.4 | Page 66
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