Question

X квадрат(3+2x) минус x(2x+3) квадрат

Answer 1

3х+2х квадрат - 2х квадрат +3х
2х квадрат - 2х квадрат + 3х +3х = 0
х + 6 =0
х=6
Ответ : 6

Answer 2

To simplify the expression, let's perform the required calculations step by step:

1. Simplify the expression inside each square bracket: a) (3 + 2x) = 3 + 2x b) (2x + 3) = 2x + 3

2. Square each of the simplified expressions: a) (3 + 2x)^2 = (3 + 2x) * (3 + 2x) = 9 + 12x + 4x^2 b) (2x + 3)^2 = (2x + 3) * (2x + 3) = 4x^2 + 12x + 9

3. Now rewrite the given expression using the simplified squares: X^2(3 + 2x) - X(2x + 3)^2

4. Substitute the squared expressions: X^2(3 + 2x) - X(4x^2 + 12x + 9)

5. Distribute the X^2 term: 3X^2 + 2X^3 - X(4x^2 + 12x + 9)

6. Distribute the X term: 3X^2 + 2X^3 - 4x^3 - 12x^2 - 9X

7. Now, combine like terms: 2X^3 - 4x^3 + 3X^2 - 12x^2 - 9X

8. Combine the X^3 and X^2 terms: (2X^3 - 4x^3) + (3X^2 - 12x^2) - 9X

9. Factor out common terms in each bracket: 2x^3(2 - 1) + 3x^2(1 - 4) - 9X

10. Simplify the coefficients: 2x^3 - 3x^2 - 9X

So, the simplified expression is: 2x^3 - 3x^2 - 9X.