Срочно ср42 в3!!!!!!!!

1. a) 1+d⁶ = 1 + (d²)³ = (1 + d²)(1 - d² + d⁴)

б) y⁹ - 27 = (y³)³ - 3³ = (y³-3)(y⁶ + 3y³ + 9)

в) $\frac{8}{125}a^{12} - b^9 = ( \frac{2}{5})^3*(a^4)^3 - (b^3)^3 =( \frac{2}{5}a^4-b^3)( \frac{4}{25}+ \frac{2}{5} a^4b^3+b^6)$

г) 8 - (x²-1)³ = 2³ - (x²-1)³ = (2 - (x²-1))(4 + 2(x²-1) + (x²-1)²)

2. 25⁶ - 12⁶ = (25² - 12²)·(25⁴ + 25² 12² + 12⁴) = (625 - 144)·(25⁴ + 25² 12² + 12⁴) = 481 · (25⁴ + 25² 12² + 12⁴)

3. 4⁶ⁿ⁺³ + 8 = 4⁽²ⁿ⁺¹⁾³ + 2³ = (4²ⁿ⁺¹ + 2)(4²⁽²ⁿ⁺¹⁾ - 2·(2²)²ⁿ⁺¹+ 4) = (4²ⁿ⁺¹ + 2)(4⁴ⁿ⁺² - 2⁶ⁿ⁺³+ 4)