Разложите на множители:
1) с^2+2c-d^2+2d
2) a^3+a^2b - ab^2 - b^3
3) m^2 - 2n - m - 4n^2
1) с^2+2c-d^2+2d
2) a^3+a^2b - ab^2 - b^3
3) m^2 - 2n - m - 4n^2
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Answers & Comments
2) a^3+a^2b - ab^2 - b^3 = (a^3-b^3) + ab(a-b)=(a-b)(a^2+ab+b^2) + +ab(a-b) =(a-b)(a^2+ab+b^2 +ab) = (a-b)(a^2+2ab+b^2)=(a-b)(a+b)^2
3) m^2 - 2n - m - 4n^2=(m^2-4n^2) - (m+2n) =(m+2n)(m-2n) - (m+2n) =
=(m+2n)(m-2n - 1)