Question

X(x+3)^2-(x+2)(x^2-2x+4)-2*(x-2)(3x+2)=

Answer 1

х(х+3)²-(х+2)(х²-2х+4)-2•(х-2)(3х+2)=

Тут есть формула (а+b)² = а²+2аb+b²

(x+3)² = x²+2•3•x+3² = x²+6x+9

x(x²+6x+9)-(x+2)(x²-2x+4)-2•(x-2)(3x+2)

x³+6x²+9x-(x³-2x²+4x+2x²-4x+8)-(6x²+4x-12x-8)

x³+6x²+9x-x³+2x²-4x-2x²+4x-8-6x²-4x+12x+8 x³-x³+6x²+2x²-2x²-6x²+9x-4x+4x-4x+12x-8+8 = 17x

Надеюсь все правильно, удачи :)

Answer 2

To simplify the expression X(x+3)^2 - (x+2)(x^2-2x+4) - 2*(x-2)(3x+2), you can follow these steps:

1. Expand each of the terms:

   a) X(x+3)^2 = X(x^2 + 6x + 9)

   b) (x+2)(x^2-2x+4) = x(x^2-2x+4) + 2(x^2-2x+4) = x^3 - 2x^2 + 4x + 2x^2 - 4x + 8 = x^3 + 8

   c) 2*(x-2)(3x+2) = 2(3x^2 - 4x - 6x - 4) = 2(3x^2 - 10x - 4)

2. Now, substitute these expanded expressions back into the original equation:

   X(x^2 + 6x + 9) - (x^3 + 8) - 2(3x^2 - 10x - 4)

3. Distribute X into the terms in the first part:

   Xx^2 + X6x + X*9 - (x^3 + 8) - 2(3x^2 - 10x - 4)

4. Simplify each term:

   Xx^2 = Xx^2 X6x = 6Xx X*9 = 9X

5. Distribute the -1 into the terms in the second part:

   -(x^3 + 8) = -x^3 - 8

6. Distribute the -2 into the terms in the third part:

   -2(3x^2 - 10x - 4) = -6x^2 + 20x + 8

7. Now, combine all the simplified terms:

   Xx^2 + 6Xx + 9X - (x^3 + 8) - (-6x^2 + 20x + 8)

8. Combine like terms:

   Xx^2 - x^3 + 6Xx + 9X + 8 - 8 + 6x^2 - 20x - 8

9. Notice that the +8 and -8 cancel each other out:

   Xx^2 - x^3 + 6Xx + 9X + 6x^2 - 20x

10. Combine like terms again:

    (Xx^2 + 6x^2) - x^3 + (6Xx - 20x) + 9X

11. Further simplify:

    7Xx^2 - x^3 + (6X - 20)x + 9X

So, the simplified expression is:

7Xx^2 - x^3 + (6X - 20)x + 9X