Question

Write the simplified answer.

Answer 1

Answer:

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

Step-by-step 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 $\mathbf{-24x^3-10x^2+35x+6}$