Question

Разложить на множители:(подробно)
(3x+2)²-x²
(2x-5)²-x²

Answer 1

$(3x + 2) {}^{2} - {x}^{2} = \\ = (3x + 2 - x) \times (3x + 2 + x) = \\ = (2x + 2) \times (4x + 2) = \\ = 2(x + 1) \times 2(2x + 1) = \\ = 2 \times 2(x + 1) \times (2x + 1) = \\ = 4(x + 1) \times (2x + 1) \\ \\ - - - - - - - - - - - - \\ \\ (2x - 5) {}^{2} - {x}^{2} = \\ = (2x - 5 - x) \times (2x - 5 + x) = \\ = (x - 5) \times (3x - 5)$