Question

for the expression n(2n+4n^2-5-3n), use the distributive property to write an equivalent expression in standard form

Answer 1

`\text{distributive property:}\ a(b+c)=ab+ac\\\\2n+4n^2-5-3n=4n^2+(2n-3n)-5=4n^2-n-5\\\\n(2n+4n^2-5-3n)=n(4n^2-n-5)=(n)(4n^2)+(n)(-n)+(n)(-5)\\\\=\boxed{4n^3-n^2-5n}`