Question

Factor 6(x^2 - 16) - (3x+1) (x-4) + (8-2x) (x+2)

Answer 1

the fully factored answer would be (x-4) (x+19)

Answer 2

Explanation:

a² - b² = (a + b)(a - b)

x² - 16 = x² - 4²

= (x + 4)(x -4)

8 - 2x = (-2)*(-4) - 2x

= -2( -4 + x)

= -2( x - 4)

6(x² - 16) - (3x +1)(x - 4) + (8 - 2x) = 6(x +4)(x-4) -(3x +1)(x -4) - 2(x -4)

= (x -4) [6*(x+4) - (3x+ 1) - 2]

= (x -4) [ 6x + 24 - 3x - 1 - 2]

= (x - 4) [ 6x - 3x + 24 - 1 - 2]

= (x - 4)(3x + 21)

= (x -4) 3*(x +7)

= 3(x -4)(x+7)