Question

(x+3)^2-(x-2)(x+2) УПРОСТИТЬ

Answer 1

Ответ:

=х^2+9-х^2-4=9-4=5

Объяснение:

.........

Answer 2

Объяснение:

используем формулы квадрат суммы и разность квадратов

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

x^2+2×3×x+3^2-(x^2-2^2)

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

6x+13

Answer 3

To simplify the expression (x+3)^2 - (x-2)(x+2), we can use the distributive property and then simplify further. Here's the step-by-step process:

Step 1: Expand the squared term (x+3)^2 (x+3)^2 = (x+3)(x+3) = x(x+3) + 3(x+3) = x^2 + 3x + 3x + 9 = x^2 + 6x + 9

Step 2: Expand the product (x-2)(x+2) (x-2)(x+2) = x(x+2) - 2(x+2) = x^2 + 2x - 2x - 4 = x^2 - 4

Now the expression becomes: (x^2 + 6x + 9) - (x^2 - 4)

Step 3: Distribute the negative sign to the second term (x^2 + 6x + 9) - (x^2 - 4) = x^2 + 6x + 9 - x^2 + 4

Step 4: Combine like terms x^2 and -x^2 cancel each other out, leaving us with: 6x + 9 + 4

Step 5: Combine the remaining constants 6x + 9 + 4 = 6x + 13

So the simplified expression is: 6x + 13