Respuesta :

carlosego

For this case we must subtract the following expression:

[tex](-2x ^ 2 + 9x-3) - (7x ^ 2-4x + 2) =[/tex]

We must bear in mind that:

[tex]- * + = -\\- * - = +[/tex]

We rewrite the expression:

[tex]-2x ^ 2 + 9x-3-7x ^ 2 + 4x-2 =[/tex]

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:

[tex]-2x ^ 2-7x ^ 2 + 9x + 4x-3-2 =\\-9x ^ 2 + 13x-5[/tex]

Answer:

[tex]-9x ^ 2 + 13x-5[/tex]

luisejr77

Answer: [tex]=-9x^2+13x-5[/tex]

Step-by-step explanation:

First, you need to remember the multiplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]

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

[tex](-2x^2+9x-3)-(7x^2-4x+2)=-2x^2+9x-3-7x^2+4x-2[/tex]

And finally, you need to add the like terms.

With this procedure,  you get the following result:

[tex]=-9x^2+13x-5[/tex]

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