This expression can be simplified so it becomes:
(3x^2 - 4) - (2x - 1)
3x^2 - 2x - 3
Answer:
[tex]3x^2-14x+14[/tex]
Step-by-step explanation:
the expression we have is:
[tex]3(x-2)^2-2(x-1)[/tex]
to solve we need to develop the square binomial
[tex](x-2)^2[/tex]
with the following formula:
[tex](a-b)^2=a^2-2ab+b^2[/tex]
So we have:
[tex](x-2)^2=x^2-2*2x+2^2\\(x-2)^2=x^2-4x+4[/tex]
and the expression now is:
[tex]3(x^2-4x+4)-2(x-1)[/tex]
developing multiplications to remove parentheses:
[tex]3x^2-3*4x+3*4-2x+2*1\\3x^2-12x+12-2x+2[/tex]
joining like terms:
[tex]3x^2-14x+14[/tex]
