Answer:
The product of the given expression \(-5p^3(4p^2+3p-1)\) is \(-20p^5-15p^4+5p^3\)
Step-by-step explanation:
Consider the given expression \(-5p^3(4p^2+3p-1)\)
We have to find the product of given expression \(-5p^3(4p^2+3p-1)\)
Distributive property : \(a\cdot(b+c)=(a\cdot b)+(a\cdot c)\)
Applying distributive property, we get,
\(-5p^3(4p^2+3p-1)=(-5p^3 \cdot 4p^2)+(-5p^3 \cdot 3p)+(-5p^3 \cdot -1)\)
Simplifying further , we get,
Applying property of exponent , \(a^n\cdot a^m=a^{m+n}\)
\((-5p^3 \cdot 4p^2)+(-5p^3 \cdot 3p)+(-5p^3 \cdot -1)=-20p^5-15p^4+5p^3\)
Thus, the product of the given expression \(-5p^3(4p^2+3p-1)\) is \(-20p^5-15p^4+5p^3\)
