Stosując wzory skróconego mnożenia, rozłóż na czynniki wyrażenia algebraiczne:
a) 36+6x+1/4x^2
b) x^3-27
a) 36 + 6x + (1/4x)^2
36 + 6x + 1/16x^2
b) x^3 - 27
x^3 - 27
a)
36+6x+1/4x² = ( 1/2x +6)² = (1/2x+6)(1/2x+6)
b)
x³-27 =
x³ - 27 = x³ - 3³ = (x-3) (x² +3x + 9) = (x-3) (x+3)² = (x-3)(x+3)(x+3)
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a) 36 + 6x + (1/4x)^2
36 + 6x + 1/16x^2
b) x^3 - 27
x^3 - 27
a)
36+6x+1/4x² = ( 1/2x +6)² = (1/2x+6)(1/2x+6)
b)
x³-27 =
x³ - 27 = x³ - 3³ = (x-3) (x² +3x + 9) = (x-3) (x+3)² = (x-3)(x+3)(x+3)