Question

3(x-4)(x+2)+(3x-1)(5-x)​

Answer 1

Ответ:

3 * ( x - 4 ) * ( x + 2 ) + ( 3x - 1 ) * ( 5 - x ) = 3 * ( x² - 2x - 8 ) + ( -3x² + 16x - 5 ) = 3x² - 6x - 24 - 3x² + 16x - 5 = 10 x - 29

Answer 2

To simplify the expression 3(x-4)(x+2) + (3x-1)(5-x), you can use the distributive property and then combine like terms. Here's the step-by-step simplification:

1. Start with the original expression: 3(x-4)(x+2) + (3x-1)(5-x)

2. Apply the distributive property to both terms: 3(x * x + x * 2 - 4 * x - 4 * 2) + (3x * 5 - 3x * x - 1 * 5 - 1 * (-x))

3. Simplify each term inside the parentheses: 3(x^2 + 2x - 4x - 8) + (15x - 3x^2 - 5 + x)

4. Now, simplify further by combining like terms in each part of the expression: 3(x^2 - 2x - 8) + (15x - 3x^2 - 5 + x)

5. Distribute the constants outside of the parentheses: 3x^2 - 6x - 24 + 15x - 3x^2 - 5 + x

6. Combine like terms in the expression: (3x^2 - 3x^2) + (15x + x - 6x) + (-24 - 5)

7. Finally, simplify the expression: 0x + 10x - 29

8. The final simplified expression is: 10x - 29

So, 3(x-4)(x+2) + (3x-1)(5-x) simplifies to 10x - 29.