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dawa2012
@dawa2012
March 2022
1
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1)выполните действия: а)(2х+1)(2х-1) б)(а+5)^2 (в)(3х-у)^2
2) упростите выражения: а)(х+1)^2-2х(1-х)
б)3(а-b)^2-3b^2
3) разложите на множители:
А)а^2-25
Б)b^2+6b+9
В)х^3-4х
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Answers & Comments
litanalove
1. a) (2x +1)(2x -1) =4x² -1
b) (a +5)² =a² +10a +25
в) (3x -y)² =9x² -6xy +y²
2. a) (x +1)² -2x(1 -x) =x² +2x +1 -2x +2x² =3x² +1
b) 3(a-b)² -3b² =3a² -6ab + 3b² -3b² =3a² -6ab = 3a(a - 2b)
3. a) a² -25=(a -5)(a +5)
b) b² +6b +9 =(b +3)² =(b + 3)(b +3)
в) x^3 -4x =x(x² -4)=x(x -2)(x +2)
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Answers & Comments
b) (a +5)² =a² +10a +25
в) (3x -y)² =9x² -6xy +y²
2. a) (x +1)² -2x(1 -x) =x² +2x +1 -2x +2x² =3x² +1
b) 3(a-b)² -3b² =3a² -6ab + 3b² -3b² =3a² -6ab = 3a(a - 2b)
3. a) a² -25=(a -5)(a +5)
b) b² +6b +9 =(b +3)² =(b + 3)(b +3)
в) x^3 -4x =x(x² -4)=x(x -2)(x +2)