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