Question

Simplify: (x + y) (2x − 3y +z) - (2x - 3y)z​

Answer 1

Answer:

Step-by-step explanation:

(x + y) (2x − 3y +z) - (2x - 3y)z​ = (x + y) (2x − 3y +z) - 2xz - 3yz​

                                                = $2x^2 - 3yx + zx + 2xy - 3y^2 + zy - 2xz - 3yz$

                                                =   $2x^2 - 3y^2 - xz - 2yz- xy$

                                                = $x(2x-z-y) - y(3y+2)$

Answer 2

Answer:

(x + y) (2x − 3y +z) - (2x - 3y)z = (x + y) (2x − 3y +z) - 2xz - 3yz

= 2x^2 - 3yx + zx + 2xy - 3y^2 + zy - 2xz - 3yz2x

2

−3yx+zx+2xy−3y

2

+zy−2xz−3yz

= 2x^2 - 3y^2 - xz - 2yz- xy2x

2

−3y

2

−xz−2yz−xy

= x(2x-z-y) - y(3y+2)x(2x−z−y)−y(3y+2)