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

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

shaalaa.com

Special Product

Is there an error in this question or solution?

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

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

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

Simplify: (x + 6) (x − 4) (x − 2)

Simplify using following identity : `( a +- b )(a^2 +- ab + b^2) = a^3 +- b^3`
`( 3x - 5/x )( 9x^2 + 15 + 25/x^2)`

Simplify using following identity : `( a +- b )(a^2 +- ab + b^2) = a^3 +- b^3`
`(a/3 - 3b)(a^2/9 + ab + 9b^2)`

Find : (a - b)(a - b)(a - b)

If a + b = 11 and a² + b² = 65; find a³ + b³.

If x + 5y = 10; find the value of x³ + 125y³ + 150xy − 1000.

Using suitable identity, evaluate (104)³

Simplify :
`[(x^2 - y^2)^3 + (y^2 - z^2)^3 + (z^2 - x^2)^3]/[(x - y)^3 + (y - z)^3 + (z - x)^3]`

Evaluate :
`[0.8 xx 0.8 xx 0.8 + 0.5 xx 0.5 xx 0.5]/[0.8 xx 0.8 - 0.8 xx 0.5 + 0.5 xx .5]`