Question

Нужно разложить на множители
1) -4a^8b+12a^2b^3c
2) -20x^6y-35x^6
3) 7xy-y+21x-3
4) 12x^2+6y-2x^2y-y^2
5) 16x^3-xy^2
6) a^3b-25ab^3

Answer 1

1) -4a^8b+12a^2b^3c=-4a²b(a^6-3b²c)
2) -20x^6y-35x^6=-5x^6(4y+7)
3) 7xy-y+21x-3=y(7x-1)+3(7x-1)=(7x-1)(y+3)
4) 12x^2+6y-2x^2y-y^2=6(2x²+y)-y(2x²+y)=(2x²+y)(6-y)
5) 16x^3-xy^2=x(16x²-y²)=x(4x-y)(4x+y)
6) a^3b-25ab^3=ab(a²-25b²)=ab(a-5b)(a+5b)