Question

1. (х-8)(6-у)2. (3с+7)(4-3с)3. (5а^2+1)(3у-1)4. (х+3)(х^2-х-1)5. 5(х+2)(х+3)​

Answer 1

Ответ:

Пошаговое объяснение:

1. (х-8)(6-у)  = 6x-xy-24+8y

2. (3с+7)(4-3с)  = 12c-9c^2+28-21c = -9c-9c^2+28

3. (5а^2+1)(3у-1)  = 15a^2y - 5a^2 + 3y - 1

4. (х+3)(х^2-х-1)  = x^3-x^2-x+3x^2-3x-3 = x^3+2x^2-4x-3

5. 5(х+2)(х+3)​ = 5(x^2+3x+2x+6) = 5x^2+15x+10x+30 = 5x^2+25x+30

Answer 2

It seems like you've provided a list of algebraic expressions, and it looks like you might want me to simplify or expand them. Let's go through each expression one by one:

1. (х-8)(6-у): To expand this expression, you can use the distributive property (FOIL method): х * 6 - х * у - 8 * 6 + 8 * у Simplifying further: 6х - 6у - 48 + 8у Final result: 6х + 2у - 48

2. (3с+7)(4-3с): Using the distributive property: 3с * 4 - 3с * 3с + 7 * 4 - 7 * 3с Simplifying: 12с - 9с^2 + 28 - 21с Combining like terms: -9с^2 - 9с + 28

3. (5а^2+1)(3у-1): Distributive property: 5а^2 * 3у - 5а^2 * 1 + 1 * 3у - 1 * 1 Simplifying: 15а^2у - 5а^2 + 3у - 1

4. (х+3)(х^2-х-1): Using distributive property: х * х^2 - х * х - х * 1 + 3 * х^2 - 3 * х - 3 * 1 Simplifying: х^3 - х^2 - х + 3х^2 - 3х - 3 Combining like terms: х^3 + 2х^2 - 4х - 3

5. 5(х+2)(х+3): Distributive property: 5 * х * х + 5 * х * 3 + 5 * 2 * х + 5 * 2 * 3 Simplifying: 5х^2 + 15х + 10х + 30 Combining like terms: 5х^2 + 25х + 30

Please double-check my calculations and simplifications, as there might be mistakes due to manual calculation.