Question

Розкласти на множники много члена а) 9х2+12х+4-у2 б) (3х-2)2-(х+1)2

Answer 1

a) 9x² + 12x + 4 - y² = (9x² + 12x + 4) - y² = (3x + 2)² - y² =
= (3x + 2 - y)(3x + 2 - y)

б) (3x - 2)² - (x +1)² = (3x - 2 - x - 1)(3x - 2 + x -+1) = (2x - 3)(4x - 1)

Answer 2

9x^2 + 12x + 4 - y^2 = (3x + 2)^2 - y^2 = (3x + 2 - y) • (3x + 2 + y)

(3x - 2)^2 - (x + 1)^2 = (3x - 2 - (x + 1)) • (3x - 2 + (x + 1)) = (3x - 2 - x - 1) • (3x - 2 + x + 1) = (2x -3) • (4x - 1)