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Verified Answer :

-9x(5-2x)Mutltiply the number outside of the parenthesis with the numbers inside the parenthesis
Final Answer: -45x+18x^2
This answer can no longer be simplified.

Answer:  The required simplified product is \(-45x+18x^2.\)

Step-by-step explanation:  We are given to find the following product :

\(P=-9x(5-2x)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)

We will be using the following property of distribution over addition to solve our problem :

\(a\times(b+c)=a\times b+a\times c.\)

From equation (i), we have

\(P\\\\=-9x(5-2x)\\\\=-9x\times5+(-9x)\times(-2x)\\\\=-45x+18x^2.\)

Thus, the required simplified product is \(-45x+18x^2.\)