Rozłóż wielomian na czynniki skorzystaj ze wzoru skróconego mnożenia
.... = [ 3x(x + 2) ]^2 - (x)^2 =
[ 3x(x +2) - x] * [ 3x(x + 2) + x] =
(3x^2 + 6x - x)(3x^2 + 6x + x) =
(3x^2 + 5x)(3x^2 + 7x) =
x(3x +5) * x * (3x + 7) =
x^2 * (3x +5)(3x +7)
9x²(x+2)²-x²=
=[3x(x+2)]²-x²=
=[3x(x+2)-x][3x(x+2)+x]=
=[3x²+6x-x][3x²+6x+x]=
=[3x²+5x][3x²+7x]=
=[x(x+5/3)][x(x+7/3)]=
=x²(x+5/3)(x+7/3)
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.... = [ 3x(x + 2) ]^2 - (x)^2 =
[ 3x(x +2) - x] * [ 3x(x + 2) + x] =
(3x^2 + 6x - x)(3x^2 + 6x + x) =
(3x^2 + 5x)(3x^2 + 7x) =
x(3x +5) * x * (3x + 7) =
x^2 * (3x +5)(3x +7)
9x²(x+2)²-x²=
=[3x(x+2)]²-x²=
=[3x(x+2)-x][3x(x+2)+x]=
=[3x²+6x-x][3x²+6x+x]=
=[3x²+5x][3x²+7x]=
=[x(x+5/3)][x(x+7/3)]=
=x²(x+5/3)(x+7/3)