Разложите на множители: а)64a-a³ б)x³-10x²+25x.
Ий!64a-a^3=a(64-a^2)=a(8^2-a^2)a(8-a)(8+a)x^3-10x^2+25x=x(x^2-10x+25)=x(x-5)^2x^3-xy^2-6y^2+6x^2=(x^3+6x^2)-(xy^2+6y^2)=x^2(x+6)-y^2(x+6)=(x+6)(x^2-y^2)=(x+6)(x-y)(x+y)8x^4y-xy^4=xy(2^3x^3-y^3)=xy(2x-y)(4x^2+2xy+y^2)