Respuesta :

Lenvy

Answer:

[tex]-3x^2-4x[/tex]

Step-by-step explanation:

Simplify:

[tex]\left(2x-7\right)-\left(4x^2+6x-3\right)+\left(x^2+4\right)[/tex]

[tex]=2x-7-\left(4x^2+6x-3\right)+x^2+4[/tex]

Group same factor:

[tex]=-\left(4x^2+6x-3\right)+x^2+2x-7+4[/tex]

Add :

[tex]=-\left(4x^2+6x-3\right)+x^2+2x-3[/tex]

Apply the distributive law: -(a+b) = -a - b

[tex]-\left(4x^2+6x-3\right)=-4x^2-6x+3[/tex]

[tex]=-4x^2-6x+3+x^2+2x-3[/tex]

Group same factor:

[tex]=-4x^2+x^2-6x+2x+3-3[/tex]

Subtract:

[tex]=-4x^2+x^2-6x+2x[/tex]

Add:

[tex]=-3x^2-6x+2x[/tex]

Group same factor:

[tex]=-3x^2-4x[/tex]

Hence answer = [tex]-3x^2-4x[/tex]

~lenvy~