Question

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

Answer 1

Ответ:

Пошаговое объяснение:

6х*х+4х-15х-10-4х+6=6х*х-15х-4

Answer 2

To simplify the expression (2x-5)(3x+2) - (2x-3)^2, you can follow these steps:

1. Expand the first term, (2x-5)(3x+2), using the distributive property:

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

   Simplify each term in the expression:

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

2. Combine like terms in the expanded expression:

   6x^2 - 11x - 10

3. Now, expand the second term, (2x-3)^2, by squaring it:

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

   Use the distributive property to expand:

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

   Simplify each term:

   4x^2 - 6x - 6x + 9

4. Combine like terms in the expanded expression:

   4x^2 - 12x + 9

5. Finally, subtract the second expanded expression from the first:

   (6x^2 - 11x - 10) - (4x^2 - 12x + 9)

   Distribute the negative sign into the second expression:

   6x^2 - 11x - 10 - 4x^2 + 12x - 9

6. Combine like terms in the resulting expression:

   (6x^2 - 4x^2) + (-11x + 12x) + (-10 - 9)

   2x^2 + x - 19

So, the simplified expression is 2x^2 + x - 19.