Perform the indicated operations 2x3 3x87x3 3x2 6 2x23x8

Perform the indicated operations: (2x^3 - 3x+8)-(-7x^3 + 3_x^2 - 6) -2x^2(3x-8) (2x+1)(x-6) (x-3)^2 (x-4)(x^2+x+1)

Solution

a) (2x³ - 3x + 8) - (-7x³ + 3x² - 6)

= 2x³ - 3x + 8 + 7x³ - 3x² + 6

= 9x³ -3x² -3x + 14

b) -2x²(3x-8)

= -6 x³ +16 x²

c) (2x + 1)(x - 6)

= 2x² - 11x - 6

d) (x - 3)²

= x² - 6x + 9

e) (x - 4)(x² + x + 1)

= x³ + x² + x -4x² -4x -4

= x³ - 3x² - 3x -4