Question

1. 5x²-45 2. ax²-4a. 3. 3x²-75a² 4. -2ay²+2a³ 5. 5a²+10ab+5b² 6. ax²-2axy+ay² 7. -6a²+12ab-6b²

Answer 1

1. 5(х^2-9)=5(х-3)(х+3)
2. а(х^2-4)=а(х-2)(х+2)
3. 3(х^2-25а^2)=3(х-5а)(х+5а)
4. 2a(-y^2+a^2)=2a(a-y)(a+y)
5. 10ab+(5a^2-5b^2)=10ab+5(a-b)(a+b)
6. a(x^2-2xy+y^2)=a(x-y)^2
7. 12ab+(-6a^2-6b^2)=12ab-6(a^2-b^2)=12ab-6(a+b)(a-b)

Answer 2

It looks like you've listed several algebraic expressions. If you have any specific questions or instructions related to these expressions, please let me know, and I'll be happy to assist you further. For now, I'll simplify each expression:

1. 5x² - 45

2. ax² - 4a

3. 3x² - 75a²

4. -2ay² + 2a³

5. 5a² + 10ab + 5b²

6. ax² - 2axy + ay²

7. -6a² + 12ab - 6b²

Let me know if you need any specific operations or further explanations for any of these expressions!