Question

(а-7)(а+7) (3а+4b)(3a-4b) 9a²-25b² x²-16y² 4m²-n² y²-1 a²-16 b²-25 25b²-81a² 49x²-1 x²-100

Answer 1

Ответ:

1)а²+7а-7а-49

2)9а²-12аb+12ab-16b²

Answer 2

It looks like you've provided a list of algebraic expressions, and it seems you want to either simplify them or perform some operations on them. I'll go through each expression one by one and provide the simplifications or operations you can perform:

1. (a - 7)(a + 7): This is the difference of squares (a^2 - 7^2). The difference of squares can be simplified as follows: a^2 - 7^2 = a^2 - 49

2. (3a + 4b)(3a - 4b): This is also the difference of squares, and you can apply the same simplification as before: (3a)^2 - (4b)^2 = 9a^2 - 16b^2

3. 9a² - 25b²: This is another difference of squares: 9a^2 - 25b^2 = (3a)^2 - (5b)^2 = (3a + 5b)(3a - 5b)

4. x² - 16y²: This is a difference of squares: x^2 - (4y)^2 = (x + 4y)(x - 4y)

5. 4m² - n²: This is also a difference of squares: 4m^2 - n^2 = (2m)^2 - n^2 = (2m + n)(2m - n)

6. y² - 1: This is another difference of squares: y^2 - 1 = (y + 1)(y - 1)

7. a² - 16: This is again a difference of squares: a^2 - 16 = (a + 4)(a - 4)

8. b² - 25: This is a difference of squares: b^2 - 25 = (b + 5)(b - 5)

9. 25b² - 81a²: This is also a difference of squares: 25b^2 - 81a^2 = (5b)^2 - (9a)^2 = (5b + 9a)(5b - 9a)

10. 49x² - 1: This is a difference of squares: 49x^2 - 1 = (7x)^2 - 1^2 = (7x + 1)(7x - 1)

11. x² - 100: This is a difference of squares: x^2 - 100 = (x + 10)(x - 10)

So, I've simplified each expression using the difference of squares formula where applicable. This should help you work with these expressions more easily.