Question

(x+7)^2-(7-x)(7+x) ​

Answer 1

(7+x)*(x+7-(7-x))
(7+x)*(x+7-7+x)
(7+x)*2x
Ответ: 2x*(7+x)

Answer 2

To simplify the expression $(x+7)^2 - (7-x)(7+x)$, you can start by expanding both terms and then combining like terms. Here's how you can do it step by step:

1. Expand the first term, $(x+7)^2$: $(x+7)^2 = x^2 + 14x + 49$

2. Expand the second term, $(7-x)(7+x)$ using the difference of squares formula $(a-b)(a+b) = a^2 - b^2$: $(7-x)(7+x) = 7^2 - x^2 = 49 - x^2$

3. Now, subtract the second term from the first: $(x+7)^2 - (7-x)(7+x) = (x^2 + 14x + 49) - (49 - x^2)$

4. Distribute the negative sign to both terms inside the parentheses in the second part: $(x^2 + 14x + 49) - 49 + x^2$

5. Now, combine like terms: $x^2 + 14x + 49 - 49 + x^2 = 2x^2 + 14x$

So, the simplified expression is $2x^2 + 14x$.