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Bad White [126]
3 years ago
14

Choose the product.

Mathematics
2 answers:
Ivan3 years ago
7 0

Answer:

3 {x}^{3}  -  {x}^{2}  - 5x + 3

Step-by-step explanation:

( 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

Andru [333]3 years ago
3 0

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

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