Question

If f(x)= x squared and g(x)=2x^3- x squared, find f(x)-g(x).

Answer 1

`f(x)-g(x)=2x^2(1-x)`

Explanation:

Given that,

`f(x)=x^2\\\\g(x)=2x^3-x^2`

We need to find the value of f(x)-g(x).

Put the values of f(x) and g(x). So,

`f(x)-g(x)=x^2-(2x^3-x^2)\\\\=x^2-2x^3+x^2\\\\=2x^2-2x^3\\\\=2x^2(1-x)`

So, the value of f(x)-g(x) is equal to
`2x^2(1-x)`.