Answer:
\(\text{The product is }-18p^5-30p^3+6p^3\)
Option 1 is correct.
Step-by-step explanation:
Given the product
\(-6p^3(3p^2+5p-1)\)
we have to find the product.
By distributive property
\(a(b+c+d)=a.b+a.c+a.d\)
\(-6p^3(3p^2+5p-1)\)
\((-6p^3)(3p^2)+(-6p^2)(5p)+(-6p^3)(-1)\)
\(\text{As, }x^m.x^n=x^{m+n}\)
\(-18p^{3+2}-30p^{2+1}+6p^3\)
\(-18p^5-30p^3+6p^3\)
which is required product.
Option 1 is correct.
