Question

(x+6) (x-4) ( x-2) simplify ​

Answer 1

Solution:

Multiply the parentheses:

$(x + 6)(x - 4)(x - 2)$

Collect the like terms:

$= ( {x}^{2} - 4x + 6x - 24)(x - 2)$

Multiply the parentheses:

$= ( {x}^{2} + 2x - 24)(x - 2)$

Eliminate the opposite:

$= {x}^{3} - 2 {x}^{2} + {2x}^{2} - 4x - 24x + 48$

Collect the like terms:

$= x ^{3} - 4x - 24x + 48$

Final answer:

$= x ^{3} - 28x + 48$

Answer 2

Answer:

Given:

  to simplify (x+6)(x-4)(x-2)

Solving Question :

        First you have to open the two brackets then multiply with the third.

Solution:

open two brackets leaving the third

⇒ $(x-2)[(x+6)(x-4)]$

⇒ $(x-2)[x^2-4x+6x-24]$

simplify it

⇒$(x-2)(x^2+2x-24)$

Open the third bracket  and multiply

⇒$x^3+2x^2-24x-2x^2-4x+48$

Simplify it

⇒$x^3-28x+48$

Therefore, the simplified form of (x+6)(x-4)(x-2) is x³ - 28x +48