Answered

IDNLearn.com helps you find the answers you need quickly and efficiently. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.

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

Sagot :

the fully factored answer would be (x-4) (x+19)
Devishri1977idn

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)

Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your questions deserve accurate answers. Thank you for visiting IDNLearn.com, and see you again for more solutions.