9x^(2) + 16 DOES NOT factor.
Remember ; two squared terms with a plus(+) between them DOES NOT factor
However, two squared terms with a minus(-) between them DOES factor .
Hence 9x^(2) + 16 = (3x)^2) + 4^(2) does NOT factor
However, 9x^(2) - 16 = (3x)^2) - 4^(2) does factor to ( (3x - 4)(3x + 4)
Note the two different signs.
(9x)2 +9x/(45x)2 +81= 9+9x/86
Let the symbol ^ mean "to the power" Then 9x^2 + 24x + 16 = (3x + 4)(3x +4) = (3x + 4)^2
(9x + 7)(x - 2)
This is (3x +2)2 so if x is an integer/3, this expression is the square of an integer so cannot be prime. Anything else, and it's not even an integer.
2x2+9x+9 = (2x+3)(x+3) when factored
9x squared plus 16 = 0 factored is plus and minus 4/3 i.
(9x)2 +9x/(45x)2 +81= 9+9x/86
Let the symbol ^ mean "to the power" Then 9x^2 + 24x + 16 = (3x + 4)(3x +4) = (3x + 4)^2
(9x2 + 7)(9x2 - 7) = 81x4 - 49
(9x + 7)(x - 2)
This is (3x +2)2 so if x is an integer/3, this expression is the square of an integer so cannot be prime. Anything else, and it's not even an integer.
Integral : 9x + 8 = 9(x squared)/2 + 8x Differential : 9x +8 = 9
81x2 + 72x + 16 = 81x2 + 36x + 36x + 16 = 9x(9x + 4) + 4(9x + 4) = (9x + 4)2
2x2+9x+9 = (2x+3)(x+3) when factored
9x squared-15x squared = -6
It is a quadratic equation in x.
9x2 + 8x - 1 = (9x - 1)(x + 1)