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

Sagot :

the fully factored answer would be (x-4) (x+19)
devishri1977

Answer:

Step-by-step 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)

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