Question

Write the simplified answer.

Answer 1

Simplified form of:
`(4x^2+x-6)(-6x-1)` is
`\mathbf{-24x^3-10x^2+35x+6}`

Explanation:

We need to write the simplified answer of:
`(4x^2+x-6)(-6x-1)`

We are multiplying both terms.

First -6x is multiplied with
`(4x^2+x-6)` and then -1 is multiplied with
`(4x^2+x-6)`

Looking at the table, we now just have to add the like terms to find the result.

`-6x(4x^2+x-6)-1(4x^2+x-6)\\=-24x^3-6x^2+36x-4x^2-x+6\\Now\:combining\:like\:terms:\\=-24x^3-6x^2-4x^2+36x-x+6\\=-24x^3-10x^2+35x+6`

So, simplified form of:
`(4x^2+x-6)(-6x-1)` is
`\mathbf{-24x^3-10x^2+35x+6}`