Question

(7а^2 -1)(49а^4 + 7а^2 + 1)

Answer 1

Ответ:

343a^6-1

Объяснение:

Answer 2

To simplify the expression $(7a^2 - 1)(49a^4 + 7a^2 + 1)$, you can use the distributive property to multiply each term in the first expression by each term in the second expression. Here's how you can do it step by step:

1. Start by multiplying the first term in the first expression by all three terms in the second expression: $7a^2 \cdot 49a^4 + 7a^2 \cdot 7a^2 + 7a^2 \cdot 1$

2. Next, multiply the second term in the first expression by all three terms in the second expression: $-1 \cdot 49a^4 - 1 \cdot 7a^2 - 1 \cdot 1$

3. Now, simplify each of these products:

   For the first term: $7a^2 \cdot 49a^4 = 343a^6$

   For the second term: $7a^2 \cdot 7a^2 = 49a^4$

   For the third term: $7a^2 \cdot 1 = 7a^2$

   For the fourth term: $-1 \cdot 49a^4 = -49a^4$

   For the fifth term: $-1 \cdot 7a^2 = -7a^2$

   For the sixth term: $-1 \cdot 1 = -1$

4. Now, add all the simplified terms together:

   $343a^6 + 49a^4 + 7a^2 - 49a^4 - 7a^2 - 1$

5. Notice that the $49a^4$ terms and the $7a^2$ terms cancel each other out:

   $343a^6 - 1$

So, the simplified expression is $343a^6 - 1$.