Simplify the folowing equations (x2 + 2xy + y2)(x+1)

x3 + x2 +2x2y +xy2 + y2 + 2xy

(6x -8)(2x -3)

(-2x – 1) (9x +2)

(2x2 - 4xy + 2y2) (3x-4)

6x3 – 12x2y + 6xy2 – 8x2 + 16xy-8y2

must show steps

Use FOIL method...

1. (x^2 + 2xy + y^2)(x+1)

x^3 + 2x^2y + xy^2 + x^2 + 2xy + y^2

Add Like Terms

There are no like terms.

2. x^3 + x2 +2x2y +xy2 + y2 + 2xy

3. (6x -8)(2x -3)

4. (-2x – 1) (9x +2)

5. (2x^2 - 4xy + 2y^2) (3x-4)

6. 6x^3 – 12x^2y + 6xy^2 – 8x^2 + 16xy-8y^2

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0