a) 4 - (5x+1)²
2² - ( 5x + 1)² =
(2 - 5x -1) ( 2 + 5x +1) =
(1-5x) (3 + 5x) = 3 + 5x - 15x - 25x² = -25x² -10x + 3
b) 3(6x+2) - (7x-3)² =
18 x + 6 - [ 49x² - 42x +9] = 18x + 42x - 49x² +6 - 9 = -49 x² +60x -3
c) (x+1)² - (x+6)² =
x² + 2x + 1 - x² - 12x -36 = - 10x - 35
d) (2x+1)² - (2x-1)² =
4 x² + 4x +1 - [ 4x² -4x +1] = 8x
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a) 4 - (5x+1)²
2² - ( 5x + 1)² =
(2 - 5x -1) ( 2 + 5x +1) =
(1-5x) (3 + 5x) = 3 + 5x - 15x - 25x² = -25x² -10x + 3
b) 3(6x+2) - (7x-3)² =
18 x + 6 - [ 49x² - 42x +9] = 18x + 42x - 49x² +6 - 9 = -49 x² +60x -3
c) (x+1)² - (x+6)² =
x² + 2x + 1 - x² - 12x -36 = - 10x - 35
d) (2x+1)² - (2x-1)² =
4 x² + 4x +1 - [ 4x² -4x +1] = 8x