Express the term `(x+2)^(3)=x(x^(2)-1)` in the form `ax^(2)+bx+c=0(ane0)` of quadratic equation and find the coefficient of `x^(2),xandx^(0)`.

Explanation

Given that `(x+2)^(3)=x(x^(2)-1)`
or, `(x)^(3)+3.x^(2).2+3.x.2^(2)+2^(3)=x^(3)-x`
or, `x^(3)+6x^(2)+12x+8=x^(3)-x`
or, `x^(3)+6x^(2)+12x+8-x^(3)+x=0`
or, `6x^(2)+13x+8=0`
`:.` the required quadratic equation is `6x^(2)+13x+8=0`.
Here, coefficient of `x^(2)=6` coefficient of x=3 and coefficient of `x^(0)=8`.