Question

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

Answer 1

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