Question

1)(X-5)(x+5) 2)(7с+3)(7с-3)

Answer 1

Ответ:

1) x^2-25

2) 49c^2-9

Объяснение:

Answer 2

Ответ:

(х-5)(х+5) = х^2-25

(7с+3)(7с-3) = 49с^2-9

Answer 3

To simplify the given expressions, we'll use the difference of squares formula, which states that:

For any two numbers a and b, (a^2 - b^2) can be factored as (a + b)(a - b).

Let's simplify the given expressions:

1. (X-5)(X+5)

This expression is in the form of (a - b)(a + b), where a = X and b = 5. So, using the difference of squares formula, we get:

(X - 5)(X + 5) = X^2 - 5^2

Now, 5^2 means 5 multiplied by itself: 5^2 = 25.

Therefore, the simplified expression is:

X^2 - 25

2. (7c + 3)(7c - 3)

This expression is also in the form of (a + b)(a - b), where a = 7c and b = 3. So, applying the difference of squares formula:

(7c + 3)(7c - 3) = (7c)^2 - 3^2

Now, (7c)^2 means (7c) multiplied by itself: (7c)^2 = 49c^2, and 3^2 = 9.

Therefore, the simplified expression is:

49c^2 - 9