Question

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

Answer 1

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

Step-by-step 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:

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