Answer:
[tex]3 {x}^{3} - {x}^{2} - 5x + 3[/tex]
Step-by-step explanation:
[tex]( 3{x}^{2} + 2x - 3)(x - 1) \\ 3 {x}^{2} (x) + 2x(x) - 3(x) + 3{x}^{2} ( - 1) + 2x( - 1) - 3( - 1) \\ 3 {x}^{3} + 2 {x}^{2} - 3x - 3 {x}^{2} - 2x + 3 \\ 3{x}^{3} - {x}^{2} - 5x + 3[/tex]
Answer:
3x 3 - x 2 - 5x + 3
Step-by-step explanation:
To find the products, multiply x by each element of the longer expression 3x 2 + 2x - 3.
Then multiply each element of the longer expression again by -1 and add the results of the two products.
(3x 2 + 2x - 3)(x - 1)
= 3x^3 + 2x^2 - 3x - 3x^2 - 2x +3
Rearrange
= 3x^3 + 2x^2 - 3x^2 - 3x - 2x +3
simplify
= 3x^3 - x^2 - 5x + 3
