Answer:
[tex](x-9)*(x+2)=x^2 - 7x -18[/tex]
Step-by-step explanation:
Let's find the solution, but first we need to understand the following:
multiplication of binomials establish that:
[tex](a-b)*(c+d)=(a*c) + (a*d) + ((-b)*(c)) + ((-b)*(d))[/tex]
now, because your binomials are (x-9) and (x+2), using the above we obtain:
[tex](x-9)*(x+2)=(x*x) + (x*2) + ((-9)*x) + ((-9)*2)[/tex]
which can be simplified as:
[tex](x-9)*(x+2)=x^2 + 2x - 9x -18[/tex]
giving the solution:
[tex](x-9)*(x+2)=x^2 - 7x -18[/tex]
