Question

What is the product
(3x-6)(2x^2-7x+1)

Answer 1

multiply each term in the first equation by the terms in the second equation and then combine like terms
the answer is 6x^3-33x^2+45x-6

Answer 2

`\text{The product is }6x^3-33x^2+45x-6`

Explanation:

Given the expression

`(3x-6)(2x^2-7x+1)`

we have to find the product

`(3x-6)(2x^2-7x+1)`

By property

`3x(2x^2-7x+1)-6(2x^2-7x+1)`

`6x^3-21x^2+3x-12x^2+42x-6`

Combining like terms, we get

`6x^3-(21x^2+12x^2)+(3x+42x)-6`

`6x^3-33x^2+45x-6`

which is the required product.