Question

Simplify the expression to a polynomial in
standard form:
(3x-1)(3x^2+3x+8)

Answer 1

9x^3+6x^2+21x-8

Explanation:

(3x-1) (3x ^ 2 + 3x + 8) =3x(3x ^ 2 + 3x + 8) +(-1)(3x ^ 2 + 3x + 8) =9x^3+9x^2+24x-3x^2-3x-8 = 9x^3+6x^2+21x-8

Answer 2

`\huge\boxed{\sf 9x^3+6x^2+21x-8}`

Explanation:

Given expression:

=
`(3x-1)(3x^2+3x+8)`

`Expand`

`= 3x(3x^2+3x+8)-1(3x^2+3x+8)\\\\Multiply\\\\=9x^3+9x^2+24x-3x^2-3x-8\\\\Combine \ like \ terms\\\\= 9x^3+9x^2-3x^2+24x-3x-8\\\\= 9x^3+6x^2+21x-8\\\\\rule[225]{225}{2}`