▪(4 + у^2)(у^2 - 4) = (у^2)^2 - 4^2 = у^4 - 16
▪25х^2 - у^2 = (5х - у)(5х + у)
▪(-а - 2)^2 = а^2 + 4а + 4
▪m^3 - n^3 = (m - n)(m^2 + mn + n^2)
▪(9 - y)^2 = 81 - 18y + y^2
▪b^2 + 4a^2 + 4ab = (2a + b)^2
▪8 - (1/8)a^3 = 2^3 - (1/2•a)^3 = (2 - 1/2•a)(4 + a + 1/4•a^2)
▪1 + x^2 - 2x = (x - 1)^2
▪(2х-1)(2х+1) = 4x^2 - 1
▪(a + 1)^3 = a^3 + 3a^2 + 3a + b^3
▪(2 - a) ^3 = 8 - 12a + 6a^2 - a^3
▪(1 - 1/8•p)^3 = 1 - (3/8•p) + 3/64•p^2 - (1/512•p)^3
▪(7х-2)(7х+2) = 49x^2 - 4
▪28xy + 49x^2 + 4y^2 = (7x + 2y)^2
▪(k + 0,5)^2 = k^2 + k + 0,25
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применяла формулы разложения на множители:
▪(а+b)^2 = a^2 + 2ab +b^2
▪(а-b)^2 = a^2 - 2ab +b^2
▪a^2 - b^2 = (a-b)(a+b)
▪a^3 + b^3 = (a + b)(a^2 - ab + b^2)
▪a^3 - b^3 = (a - b)(a^2 + ab + b^2)
▪(a + b)^3 = a^3 + 3ba^2 + 3ab^2 + b^3
▪(a - b)^3 = a^3 - 3ba^2 + 3ab^2 - b^3