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f1(x) = -3x²-6x+2 (a+b)² =a²+b²+2ab
f2(x) = 2x²-40x+100 (a²-b²) =a²+b²-2ab
f3(x) = -4x²+24x-37
f5(x) = x²-10x+23
f6(x) = 10x²+100x+13
F1= -3(x+1)² +5
-3 ( x² +2x +1 )+5 = -3x² +6x -3 +5 = -3x² +6x +2
2(x -10)² = 2 (x² -20x +100) = 2x² -40x +200
3) -4 (x-3)² -1 = -4 X ( x² -6x +9) -1 = 4x² +24x -36 -1 = 4x² +24x -37
4) -( x-2)² +6
- ( x² +4 -4x) -6
-x² -4 +4x -6 = -x² -6
(x-5)² -2
x² -10x +25 -2
x² -10x +23
10(x +5)² -12
10( x² +10x +25) -12
10x² 100x +250 -12
10x² +100x +238