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

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

Sum

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 + 8x² + (24 - 8 - 12)x - 48
= x³ + 8x² + 4x - 48

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

Chapter 4 Expansions (Including Substitution)
Exercise 4 (E) | Q 1.1 | Page 66

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

Simplify using following identity : `( a +- b )(a^2 +- ab + b^2) = a^3 +- b^3`
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(i) `1/x`

(ii) `x - 1/x`

(iii) `( x - 1/x )^3`

(iv) `x^3 - 1/x^3`

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Using suitable identity, evaluate (97)³

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