3. Prove that if a is an . odd number and b is an integer then b² a² +9.

6. For an arbitrary integer a, verify the following: (a) 2|a(a + 1), and 3 a(a + 1)(a + 2). (b) 3| a(2a? + 7). (c)If a is odd, then 32 1 (a2 + 3)(a² +7). Ass a= 2K+I

1a.) 0x**3  + 9x**3  1b.) 4X**3  - 9x**5  1c.) (3x   + 1x**3) + 2(9x**3 +(-3x)) 1d.) (4r**7)/(4r**8) 1e.) 6(x**2)9(t**3)4(x**4) + (4r**3)/2r  1f.) 4(3t**2)2(y**2) - 5y**3/y**0 1g) ((90r**2)(2r**4))(-2r**4)

Answer the following question. Find three integer values of x such that 4*+42021 +42024 For is a perfect square (the square of an integer). your answer, you must list exactly three integers.