zastosuj wzory skróconego mnożenia :
(x+2)-4x+5=
(x-2)-(3x+1)(3x-1)=
(2x-4)-(2x+1)=
a)
(x+2)² -4x + 5 = x²+ 2x + 4 -4x + 5 = x² -2x +9
b)
(x-2)³ - (3x+1)(3x-1) = x³ - 3*x²*2 + 3* x* 2² - 2³ -(9x² -1) =
= x³ -6x² +12x -8 -9x² +1 = = x³ -15x² +12x -7
c)
(2x-4) – (2x+1)³ = (2x-4)-[(2x)³ + 3*(2x)²*1 + 3*2x*1² +1³) ]=
= 2x-4-(8x³ + 12x² + 6x +1) = 2x-4-8x³ - 12x² - 6x -1 =-8x³ - 12x² - 4x -5
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a)
(x+2)² -4x + 5 = x²+ 2x + 4 -4x + 5 = x² -2x +9
b)
(x-2)³ - (3x+1)(3x-1) = x³ - 3*x²*2 + 3* x* 2² - 2³ -(9x² -1) =
= x³ -6x² +12x -8 -9x² +1 = = x³ -15x² +12x -7
c)
(2x-4) – (2x+1)³ = (2x-4)-[(2x)³ + 3*(2x)²*1 + 3*2x*1² +1³) ]=
= 2x-4-(8x³ + 12x² + 6x +1) = 2x-4-8x³ - 12x² - 6x -1 =-8x³ - 12x² - 4x -5