Question

) 4х²-1= 2) 2) (x-2y)² = 3)(x + 2y)3= 4) (c - d)²= 5)(2x+y)2= 6) 27a3+ 1= 7) в³-8д³) 8) 9м2-6мн-н2 9) (а-в)(а-в)=

Answer 1

It seems like you want to simplify or solve various mathematical expressions and equations. I'll go through each one:

1. 4x² - 1: This is a quadratic expression. You can simplify it by factoring the difference of squares: 4x² - 1 = (2x + 1)(2x - 1)

2. (x - 2y)²: This is a binomial square. Expand it by multiplying the binomial by itself: (x - 2y)² = x² - 4xy + 4y²

3. (x + 2y)³: This is a binomial cube. Expand it using the binomial cube formula: (x + 2y)³ = x³ + 3x²(2y) + 3x(2y)² + (2y)³ = x³ + 6x²y + 12xy² + 8y³

4. (c - d)²: This is another binomial square. Expand it: (c - d)² = c² - 2cd + d²

5. (2x + y)²: Expand this binomial square: (2x + y)² = (2x)² + 2(2x)(y) + (y)² = 4x² + 4xy + y²

6. 27a³ + 1: This is a sum of cubes. You can factor it using the sum of cubes formula: 27a³ + 1 = (3a + 1)(9a² - 3a + 1)

7. (в³ - 8д³): This appears to be the difference of cubes. You can use the difference of cubes formula: в³ - 8д³ = (в - 2д)(в² + 2вд + 4д²)

8. 9m² - 6mn - n²: This is a quadratic expression. You can try factoring it or using the quadratic formula to solve for its roots.

9. (a - в)(a - в): This is a binomial square. Expand it: (a - в)(a - в) = a² - 2ab + в²

If you have specific questions or need further assistance with any of these expressions or equations, please let me know.