Question

Please Help, Thank you so much.

Answer 1

`(-2x^3 +x -5) and (x^3 -3x-4)`

(a) To find product we multiply both expressions

First distribute -2x^3 inside the second parenthesis
`(x^3 -3x-4)`

`-2x^6 + 6x^4 +8x^3`

next distribute x inside the second parenthesis
`(x^3 -3x-4)`

`(x^4 -3x^2-4x)`

Next distribute -5 inside the second parenthesis
`(x^3 -3x-4)`

`(-5x^3 + 15x + 20)[`

Finally we add all the product terms we got

`-2x^6 + 6x^4 +8x^3 + x^4 -3x^2-4x + -5x^3 + 15x + 20`

Combine like terms

`-2x^6 + 7x^4 + 3x^3 - 3x^2 + 11 x + 20`

(b) yes they are same

Because interchanging of expression does not affect the product

For example 5 * 2 = 2*5 they are same.

So both the product are equal