g(x)=(2-x)² - (2-x)(-3x+4) = (2-x)(2-x+3x-4)=(2x-)(2x-2)
f(x)=4x² - 4x + 1
[tex]f(x)=x^{2}- x + \frac{1}{4} [/tex]
[tex]f(x)=x^{2}- \frac{1}{2}x- \frac{1}{2}x+ \frac{1}{4} [/tex]
[tex]f(x)=(x- \frac{1}{2})(x- \frac{1}{2} ) [/tex]
[tex]f(x)=(x- \frac{1}{2})^{2}[/tex]
g(x)=(2-x)²-1
g(x)=x²-4x+4-1
g(x)=x²-4x+3
g(x)=x²-3x-x+3
g(x)=(x-1)(x-3)
