Question

Substracting 3x2+4x from 7x2+x+9 results in a polynomial. After subtracting 4x2-3x from this polynomial, the difference is ?

Answer 1

9

Explanation:

So first step is to subtract
`3x^2+4x` from
`7x^2+x+9`. In setting this up you get the following expression

`(7x^2+x+9)-(3x^2+4x)`

Distribute the negative

`7x^2+x+9-3x^2-4x`

Group like terms

`(7x^2-3x^2)+(x-4x)+9`

Simplify:

`4x^2-3x+9`

Now subtract
`4x^2-3x`. In setting this up you get the following expression

`(4x^2-3x+9)-(4x^2-3x)`

Distribute the negative:

`4x^2-3x+9-4x^2+3x`

Group like terms

`(4x^2-4x^2) + (-3x+3x) + 9`

Simplify:

`9`