Question

What's the product of these binomials (x-9) (x+2)

Answer 1

`x^(2)`-7x-18

Explanation:

Answer 2

`(x-9)*(x+2)=x^2 - 7x -18`

Explanation:

Let's find the solution, but first we need to understand the following:

multiplication of binomials establish that:

`(a-b)*(c+d)=(a*c) + (a*d) + ((-b)*(c)) + ((-b)*(d))`

now, because your binomials are (x-9) and (x+2), using the above we obtain:

`(x-9)*(x+2)=(x*x) + (x*2) + ((-9)*x) + ((-9)*2)`

which can be simplified as:

`(x-9)*(x+2)=x^2 + 2x - 9x -18`

giving the solution:

`(x-9)*(x+2)=x^2 - 7x -18`