Respuesta :
Answer: [tex]-6(2x+1)(x-1)[/tex]
Step-by-step explanation:
Given the expression in the form [tex]5x-4x^2-1+x-8x^2+7[/tex], we know that Victoria can simplify it by adding the like terms:
[tex]-12x^2+6x+6[/tex]
She can also factor out -6:
[tex]-6(2x^2-x-1)[/tex]
Now, she needs to factor the coefficient of the second term rewrite it as (1-2), then:
[tex]-6(2x^2+(1-2)x-1)[/tex]
[tex]-6(2x^2-2x+x-1)[/tex]
Now she needs to group the terms as following:
[tex]-6[(2x^2-2x)+(x-1)][/tex]
And factor out 2x:
[tex]-6[2x(x-1)+(x-1)][/tex]
Finally, she has to factor out [tex](x-1)[/tex]. Therefore, she gets:
[tex]-6(2x+1)(x-1)[/tex]