Question

16x²-49c²=? (P-3) (p+3) =? (5a-6d) (5a+6d) =?

Answer 1

16x² - 49c² = (4х - 7с) * (4х + 7с)

(P - 3) * (p + 3) = р² - 9

(5a - 6d) * (5a + 6d) = 25а² - 36d²

Answer 2

Let's simplify each of these expressions:

1. 16x² - 49c²:

This expression is a difference of squares, which can be factored as follows:

16x² - 49c² = (4x)² - (7c)² = (4x - 7c)(4x + 7c)

So, 16x² - 49c² factors into (4x - 7c)(4x + 7c).

2. (p - 3)(p + 3):

This expression is also a difference of squares. When you multiply two terms that have this form, you get the difference of squares formula:

(p - 3)(p + 3) = p² - 3² = p² - 9

So, (p - 3)(p + 3) simplifies to p² - 9.

3. (5a - 6d)(5a + 6d):

This expression is a difference of squares as well. When you multiply these two terms, you get:

(5a - 6d)(5a + 6d) = (5a)² - (6d)² = 25a² - 36d²

So, (5a - 6d)(5a + 6d) simplifies to 25a² - 36d².