1) (4+a)/(4a) * (8a)/(16+a^2)= (4+a)(8a) / 4a(16+a^2)= (32a + 8a^2) / (64a + 4a^3)= 8a(4 + a) / 4a(16 + a^2)= 2(4 + a) / (16 + a^2)
2) 4x^2 + 4x + 1 = 0This is a quadratic equation that can be factored as:(2x + 1)^2 = 0Therefore, the solution is:2x + 1 = 02x = -1x = -1/2
1) (4+a)/(4a) * (8a)/(16+a^2)
= (4+a)(8a) / 4a(16+a^2)
= (32a + 8a^2) / (64a + 4a^3)
= 8a(4 + a) / 4a(16 + a^2)
= 2(4 + a) / (16 + a^2)
2) 4x^2 + 4x + 1 = 0
This is a quadratic equation that can be factored as:
(2x + 1)^2 = 0
Therefore, the solution is:
2x + 1 = 0
2x = -1
x = -1/2