Question

how do we solve:
4-(x-1)^2?

Answer 1

..

Answer 2

by "solve" do you mean "expand and combine like terms?" this is not an equation, so there is nothing to "solve"

Answer 3

\[(xx-1)^2=(x-1)(x-1)=x^2-x-x+1=x^2-2x+1\] is a start
therefore
\[4-(x-1)^2=4-(x^2-2x+1)=4-x^2+2x-1\]

Answer 4

combine like terms and get
\[-x^2+2x+3\]