Rozłóz na czynniki stosując wzrory skróconego mnożenia:
e) 25x² - (x+y)²
f) 100 - (3x+7y)²
g) (a + 2b)²- (3c+4d)²
h) (2x+3)²-(x-1)²
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e) 25x² - (x+y)² = (5x)² - (x + y)² = [5x + (x + y)] [(5x - (x + y)] =
(5x + x + y)(5x - x - y) = (6x + y)(4x - y)
f) 100 - (3x+7y)² = 10² - (3x + 7y)² = [ 10 + (3x + 7y) ] [ 10 - (3x + 7y) ] =
(10 + 3x + 7y)(10 - 3x - 7y)
g) (a + 2b)²- (3c+4d)² = [(a + 2b) + (3c + 4d) ] [ (a + 2b) - (3c = 4d) ] =
(a + 2b + 3c + 4d)(a + 2b - 3c - 4d)
h) (2x+3)²-(x-1)² = [(2x + 3) + (x - 1)] [ (2x + 3) - (x - 1) ] =
(2x + 3 + x - 1)(2x + 3 - x + 1) = (3x + 2)(x + 4)
25x² - (x+y)²=(5x)² - (x + y)²=[5x + (x + y)]*[(5x - (x + y)]=(5x + x + y)*(5x - x - y) =
(6x + y)(4x - y)
100 - (3x+7y)²=10² - (3x + 7y)² = [10 + (3x + 7y) ]*[ 10 - (3x + 7y) ] = (10 + 3x + 7y)*
(10 - 3x - 7y)
(a + 2b)²- (3c+4d)² = [(a + 2b) + (3c + 4d) ]*[(a + 2b) - (3c = 4d)] = (a + 2b + 3c + 4d)*
(a + 2b - 3c - 4d)
(2x+3)²-(x-1)² = [(2x + 3) + (x - 1)]*[(2x + 3) -(x - 1) ] =(2x + 3 + x - 1)*(2x + 3 - x + 1)= = (3x + 2)*(x + 4)
po co to komu :))