Question

Разложите на множители
(3x-5)^2-(x+3)^2
a^6-(a+4)^2
(a+b-c)^2-(a-b+c)^2

Answer 1

(3x - 5)² - (x + 3)² = (3x - 5 - x - 3)(3x - 5 + x + 3) = (2x - 8)(4x - 2)

a^6 - (a + 4)² = (a³ - a - 4)(a³ + a + 4)

(a + b - c)² - (a - b + c)² = (a + b - c - a + b - c)(a + b - c + a - b + c) = 2a(2b - 2c) = 4a(b - c)