Answer: The required simplified product is [tex]-45x+18x^2.[/tex]
Step-by-step explanation: We are given to find the following product :
[tex]P=-9x(5-2x)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following property of distribution over addition to solve our problem :
[tex]a\times(b+c)=a\times b+a\times c.[/tex]
From equation (i), we have
[tex]P\\\\=-9x(5-2x)\\\\=-9x\times5+(-9x)\times(-2x)\\\\=-45x+18x^2.[/tex]
Thus, the required simplified product is [tex]-45x+18x^2.[/tex]