Question

3) (x+3) (2x - 1) (3x + 2);4) (x - 2) (3x +1) (4x – 3).​

Answer 1

Ответ:3)(x+3)(2x-1)(3x+2)=2x²+5x-3(3x+2)=2x²-4x-6.

4)(x-2)(3x+1)(4x-3)=3x²-5x-2(4x-3)=3x²-13x-6.

Объяснение:

Answer 2

To simplify the given expressions, you can use the distributive property and then combine like terms. Here's how to simplify each expression:

3. (x+3)(2x - 1)(3x + 2):

Expand the expression step by step:

(x+3)(2x - 1) = 2x^2 - x + 6x - 3 = 2x^2 + 5x - 3

Now, multiply the result by (3x + 2):

(2x^2 + 5x - 3)(3x + 2) = 2x^2(3x) + 2x^2(2) + 5x(3x) + 5x(2) - 3(3x) - 3(2)

Now, simplify each term:

6x^3 + 4x^2 + 15x^2 + 10x - 9x - 6

Combine like terms:

6x^3 + 19x^2 + x - 6

So, the simplified expression is:

6x^3 + 19x^2 + x - 6

4. (x - 2)(3x + 1)(4x - 3):

Expand the expression step by step:

(x - 2)(3x + 1) = 3x^2 + x - 6x - 2 = 3x^2 - 5x - 2

Now, multiply the result by (4x - 3):

(3x^2 - 5x - 2)(4x - 3) = 3x^2(4x) - 3x^2(3) - 5x(4x) + 5x(3) - 2(4x) + 2(3)

Now, simplify each term:

12x^3 - 9x^2 - 20x^2 + 15x - 8x + 6

Combine like terms:

12x^3 - 29x^2 + 7x + 6

So, the simplified expression is:

12x^3 - 29x^2 + 7x + 6