\(C=\left(x+1\right)^2-\left(2x-1\right)+3\left(x-2\right)\left(x+2\right)\)
\(=x^2+2x+1+1-2x+3\left(x^2-4\right)=x^2+2+3x^2-12=4x^2-10\)
C = (x + 1)2 - (2x - 1) + 3(x - 2)(x + 2)
C = x2 + 2x + 1 - 2x + 1 + 3(x2 - 4)
C = x2 + 2x + 1 - 2x + 1 + 3x2 - 12
C = x2 + 3x2 + 2x - 2x + 1 + 1 - 12
C = 4x2 - 10
C = 2(2x2 - 5)
\(C=\left(x+1\right)^2-\left(2x-1\right)+3\left(x-2\right)\left(x+2\right)\)
\(=x^2+2x+1-2x+1+3x^2-12\)
\(=4x^2-10\)
\(C=\left(x+1\right)^2-\left(2x-1\right)^2+3\left(x-2\right)\left(x+2\right)\)
\(=x^2+2x+1-4x^2+4x-1+3x^2-12\)
=6x-12