Pomoc z zadaniami z matematyki
a) x² - 1 = (x+1)(x-1)
b) x² - 4 = (x-2)(x+2)
c) x² - 3 =(x-√3)(x+√3)
d) x² - 5 = (x-√5)(x+√5)
e) x² - 7 = (x - √7)(√+√7)
i) 6x² - 9y² = (√6x - 3y)(√6x + 3y)
k) (5x- 1)² - (3x + 2)² = 25x² - 10x + 1 - (9x² + 12x + 4) = 25x² - 10x +1 - 9x² - 12x - 4 =16x²-22x - 3
l) (6x + 1)² - (4-3x)² = 6x² + 12x + 1 - (16 - 24x + 9x²) = 6x² + 12x + 1 - 16 + 24x - 9x² = -3x² +36x - 15
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a) x² - 1 = (x+1)(x-1)
b) x² - 4 = (x-2)(x+2)
c) x² - 3 =(x-√3)(x+√3)
d) x² - 5 = (x-√5)(x+√5)
e) x² - 7 = (x - √7)(√+√7)
i) 6x² - 9y² = (√6x - 3y)(√6x + 3y)
k) (5x- 1)² - (3x + 2)² = 25x² - 10x + 1 - (9x² + 12x + 4) = 25x² - 10x +1 - 9x² - 12x - 4 =16x²-22x - 3
l) (6x + 1)² - (4-3x)² = 6x² + 12x + 1 - (16 - 24x + 9x²) = 6x² + 12x + 1 - 16 + 24x - 9x² = -3x² +36x - 15