3. Выполнить умножение (произведение разности и суммы двух выражений). A (x−y)(x+y) (2x-1)(2x+1) (8c+9d)(8c-9d) (1-3k)(1+3k) (a²-3)(a²+3) (γ-α²)(y+α²) (b³-c)(b³ +c) Б (p-q)(p+q) (7+3y)(7-3y) (8b+5a)(5a-8b) (5x-10y)(5x+10y) (4p+q)(q-4p) (x² +m)(m-x²) (x-2y)(x+2y²) B (p-5)(p+5) (m-3n)(3n+m) (7x-2)(2+7x) (2m+n)(2m-n) (4+ y²) (y² - 4) (x² - 2)(x²+2) (a² +1)(1-a²) Г (9a-b²)(b²+9a) (x-3)(x+3) (4y+m)(m-4y) (4x + 3y)(3y - 4x) (7+3y)(3y - 7) (8c+9d) (9d-8c) (a³- 2x)(a²+2x)

Ответ: Решение в таблице ниже

A

• (x-y)(x+y) = x² - y²
• (2x-1)(2x+1) = (2x)² - 1² = 4x² - 1
• (8c+9d)(8c-9d) = (8c)² - (9d)² = 64c² - 81d²
• (1-3k)(1+3k) = 1² - (3k)² = 1 - 9k²
• (a²-3)(a²+3) = (a²)² - 3² = a⁴ - 9
• (y-α²)(y+α²) = y² - (α²)² = y² - α⁴
• (b³-c)(b³+c) = (b³)² - c² = b⁶ - c²

Б

• (p-q)(p+q) = p² - q²
• (7+3y)(7-3y) = 7² - (3y)² = 49 - 9y²
• (8b+5a)(5a-8b) = (5a+8b)(5a-8b) = (5a)² - (8b)² = 25a² - 64b²
• (5x-10y)(5x+10y) = (5x)² - (10y)² = 25x² - 100y²
• (4p+q)(q-4p) = (q+4p)(q-4p) = q² - (4p)² = q² - 16p²
• (x²+m)(m-x²) = (m+x²)(m-x²) = m² - (x²)² = m² - x⁴
• (x³-2y⁴)(x³+2y⁴) = (x³)² - (2y⁴)² = x⁶ - 4y⁸

B

• (p-5)(p+5) = p² - 5² = p² - 25
• (m-3n)(3n+m) = (m-3n)(m+3n) = m² - (3n)² = m² - 9n²
• (7x-2)(2+7x) = (7x-2)(7x+2) = (7x)² - 2² = 49x² - 4
• (2m+n)(2m-n) = (2m)² - n² = 4m² - n²
• (4+y²)(y²-4) = (y²+4)(y²-4) = (y²)² - 4² = y⁴ - 16
• (x²-2)(x²+2) = (x²)² - 2² = x⁴ - 4
• (a²+1)(1-a²) = (1+a²)(1-a²) = 1² - (a²)² = 1 - a⁴

Г

• (9a-b²)(b²+9a) = (9a-b²)(9a+b²) = (9a)² - (b²)² = 81a² - b⁴
• (x-3)(x+3) = x² - 3² = x² - 9
• (4y+m)(m-4y) = (m+4y)(m-4y) = m² - (4y)² = m² - 16y²
• (4x+3y)(3y-4x) = (3y+4x)(3y-4x) = (3y)² - (4x)² = 9y² - 16x²
• (7+3y)(3y-7) = (3y+7)(3y-7) = (3y)² - 7² = 9y² - 49
• (8c+9d)(9d-8c) = (9d+8c)(9d-8c) = (9d)² - (8c)² = 81d² - 64c²
• (a³-2x)(a³+2x) = (a³)² - (2x)² = a⁶ - 4x²

Ответ: Решение в таблице выше