Ответы на вопрос:
1. 25 - 36p² c² = 5²-(6рс)² = (5-6рс)(5+6рс) (3+y)² - 4 = (3+у)²-2² = (3+у-2)(3+у+2) = (у+1)(у+5) (3x+1)² - (4x-3)² = (3х+1-4х+3)(3х+1+4х-3) = (-х+4)(7х-2) 100 - 49x² y² = 10²-(7ху)² = (10-7ху)(10+7ху) (5+x)² - 9 = (5+х)²-3² = (5+х-3)(5+х+3) = (х+2)(х+8) (2a + 7)² - (3a - 5)² = (2а+7-3а+5)(2а+7+3а-5) = (-а+12)(5а+2) 2. x²ⁿ - 9 = (хⁿ)²-3² = (хⁿ-3)(хⁿ+3) b² - a⁴ⁿ = b² - (a²ⁿ)² = (b-a²ⁿ)(b+a²ⁿ) x²ⁿ - y²ⁿ = (хⁿ)²-(уⁿ)² = (хⁿ-уⁿ)(хⁿ+уⁿ) 81a⁸ⁿ - 16 = (9а⁴ⁿ)²-4² = (9а⁴ⁿ-4)(9а⁴ⁿ+4) = (3а²ⁿ-2)(3а²ⁿ+2)(9а⁴ⁿ+4) a²ⁿ - 1 = (аⁿ)²-1² = (аⁿ-1)(аⁿ+1) x² - y⁴ⁿ = х²-(у²ⁿ)² = (х-у²ⁿ)(х+у²ⁿ) a⁴ⁿ - b⁴ⁿ = (а²ⁿ)²-(b²ⁿ)² = (a²ⁿ-b²ⁿ)(a²ⁿ+b²ⁿ) = (aⁿ-bⁿ)(aⁿ-bⁿ)(a²ⁿ+b²ⁿ) 49x^6m - 25 = (7x^3m)² - 5² = (7x^3m - 5)(7x^3m + 5)
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