Question

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

Answer 1

Answer:
`=-9x^2+13x-5`

Explanation:

First, you need to remember the multiplication of signs:

`(+)(+)=+\\(-)(-)=+\\(-)(+)=-`

Then, to subtract the polynomials given, the first step is to distribute the negative sign:

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

And finally, you need to add the like terms.

With this procedure, you get the following result:

`=-9x^2+13x-5`

Answer 2

For this case we must subtract the following expression:

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

We must bear in mind that:

`- * + = -\\- * - = +`

We rewrite the expression:

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

We add similar terms taking into account that equal signs are added and the same sign is placed, while different signs are subtracted and the sign of major is placed:

`-2x ^ 2-7x ^ 2 + 9x + 4x-3-2 =\\-9x ^ 2 + 13x-5`

Answer:

`-9x ^ 2 + 13x-5`