(2a-3b)(2a+3b) (10x-6c)(10x+6c) (5a2 - 2x3) (2x3 +5a}) 2+53112-13) (5a® - 6x3)(6x3 +5a°) (5x2+2y3)(5x2-2y') (a3 - b3) (ả3 +b3) (0,7x +y3) (0,7x-y2) (0,4c+0,8y3)(0,8y2-0,4c) (0,4х°- 0,7y°)(0,7y°+0,4x°)

To simplify the expressions you've provided, we'll apply the difference of squares formula and distributive property where applicable. Here are the steps for each one: 1. **(2a-3b)(2a+3b)** This follows the formula \( (x-y)(x+y) = x^2 - y^2 \). \[ = (2a)^2 - (3b)^2 = 4a^2 - 9b^2 \] 2. **(10x-6c)(10x+6c)** Using the difference of squares: \[ = (10x)^2 - (6c)^2 = 100x^2 - 36c^2 \] 3. **(5a^2 - 2x^3)(2x^3 + 5a)** This requires distributing: \[ = 5a^2(2x^3) + 5a(5a^2) - 2x^3(2x^3) - 2x^3(5a) \] \[ = 10a^2x^3 + 25a^3 - 4x^6 - 10ax^3 \] 4. **(2 + 53112 - 13)** This expression seems to be arithmetic rather than a product; simplifying yields: \[ = 2 + 53112 - 13 = 53101 \] 5. **(5a^3 - 6x^3)(6x^3 + 5a^3)** Again, using the difference of squares: \[ = (5a^3)^2 - (6x^3)^2 = 25a^6 - 36x^6 \] 6. **(5x^2 + 2y^3)(5x^2 - 2y^3)** This also uses the difference of squares: \[ = (5x^2)^2 - (2y^3)^2 = 25x^4 - 4y^6 \] 7. **(a^3 - b^3)(a^3 + b^3)** This follows the difference of squares: \[ = (a^3)^2 - (b^3)^2 = a^6 - b^6 \] 8. **(0.7x + y^3)(0.7x - y^3)** Using the difference of squares: \[ = (0.7x)^2 - (y^3)^2 = 0.49x^2 - y^6 \] 9. **(0.4c + 0.8y^3)(0.8y^2 - 0.4c)** Distributing here: \[ = 0.4c(0.8y^2) - 0.4c(0.4c) + 0.8y^3(0.8y^2) - 0.8y^3(0.4c) \] \[ = 0.32cy^2 - 0.16c^2 + 0.64y^5 - 0.32cy^3 \] 10. **(0.4x^3 - 0.7y^3)(0.7y^3 + 0.4x^3)** Again using the difference of squares: \[ = (0.4x^3)^2 - (0.7y^3)^2 = 0.16x^6 - 0.49y^6 \] These simplifications cover all provided expressions. If you have any more expressions to simplify or any questions about these solutions, feel free to ask!