Ответ:
Пошаговое объяснение:
5.
1) 4a^3b+8a^2-6bc-3ab^2c=4a^2(ab+2)-3bc(2+ab)=(4a^2-3bc)(ab+2)
2) 32ab^2-15bc^2+48ac^2-10b^3=16a(2b^2+3c^2)-5b(3c^2+2b^2)=
=(16a-5b)(3c^2+2b^2)
3) 8xy^3-24y^2-7axy+21a=8y^2(xy-3)-7a(xy-3)=(8y^2-7a)(xy-3)
4) 16xy^2-5y^2z-10z^3+32xz^2=16x(y^2+2z^2)-5z(y^2+2z^2)=
=(16x-5z)(y^2+2z^2)
8.
1) x(x+3)=5x+15 2) y(y-5)-3y+15=0
x(x+3)-5x-15=0 y(y-5)-3(y-5)=0
x(x+3)-5(x+3)=0 (y-3)(y-5)=0
(x-5)(x+3)=0 y1=3 y2=5
x1=5 x2=-3
3) x^3-6x^2+(x-6)=0 4) y^4-3y^3+5y^2-15y=0
x^2(x-6)+(x-6)=0 y^3(y-3)+5y(y-3)=0
(x^2+1)(x-6)=0 (y^3+5y)(y-3)=0
x^2≠-1 y(y^2+5)(y-3)=0
x=6 y^2≠-5
y1=0 y2=3