1.Разложите на множители а) -m(3)-m(2)n-mn(2) (..)-степени б) 3x(3)-2x(2)-x в) 3n(6)+6n(5)-12n(4) г) 24m(2)n(5)-16m(2)n(3) д) 7b(3)c(3)+14b(4)c(2)
a)-m(3)-m(2)n-mn(2) = -m^2(m+n)-mn^2 = -m(m+n^2)(m+n)б)3x(3)-2x(2)-x = x^2(x-2)-x = x(x-1)(x-2)в)3n(6)+6n(5)-12n(4) = 3n^5(n+2)-12n^4 = 3n^4(n-4)(n+2)г)24m(2)n(5)-16m(2)n(3) = 8m^2n^3(3n^2-2)д)7b(3)c(3)+14b(4)c(2) = 7b^3c^2(c+b)
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Answers & Comments
a)-m(3)-m(2)n-mn(2) = -m^2(m+n)-mn^2 = -m(m+n^2)(m+n)
б)3x(3)-2x(2)-x = x^2(x-2)-x = x(x-1)(x-2)
в)3n(6)+6n(5)-12n(4) = 3n^5(n+2)-12n^4 = 3n^4(n-4)(n+2)
г)24m(2)n(5)-16m(2)n(3) = 8m^2n^3(3n^2-2)
д)7b(3)c(3)+14b(4)c(2) = 7b^3c^2(c+b)