Question

(x7 - 3) (x7 + 7) - (x7 + 2)2​

Answer 1

Ответ:

Ответ на фото.

Объяснение:

Не понял ,уравнение ли это или просто алгебраическое выражение.

Answer 2

Ответ: в фото

Объяснение:

Answer 3

Let's simplify the expression step by step:

1. First, let's expand the two binomials:

   (x^7 - 3)(x^7 + 7) = x^14 + 7x^7 - 3x^7 - 21

2. Now, simplify the terms with x^7:

   x^14 + (7x^7 - 3x^7) - 21

3. Combine the like terms:

   x^14 + 4x^7 - 21

4. Next, let's expand the square of the binomial (x^7 + 2)^2:

   (x^7 + 2)^2 = (x^7 + 2)(x^7 + 2)

   To expand this, you can use the FOIL method (First, Outer, Inner, Last):

   (x^7 + 2)(x^7 + 2) = x^14 + 2x^7 + 2x^7 + 4

5. Simplify the terms with x^7:

   x^14 + (2x^7 + 2x^7) + 4

6. Combine the like terms:

   x^14 + 4x^7 + 4

Now, subtract the result of step 6 from the result of step 3:

(x^14 + 4x^7 - 21) - (x^14 + 4x^7 + 4)

Now, distribute the negative sign to both terms inside the parentheses:

x^14 + 4x^7 - 21 - x^14 - 4x^7 - 4

Now, you can simplify further:

x^14 - x^14 + 4x^7 - 4x^7 - 21 - 4

The x^14 terms cancel each other out, and the 4x^7 terms also cancel out, leaving us with:

-21 - 4

Finally, combine the constants:

-25

So, the simplified expression is -25:

(x^7 - 3)(x^7 + 7) - (x^7 + 2)^2 = -25