P6 + 40p3q + 400q2 = (p3 + 20q)2
Just as a minor point of correction, it is an expression being factorised, not an equation.
Two is a prime factor of that equation.
There is no equation. An equation is true, whereas the statement ( 5 + 7 = -12 ) is false.
That is the most simplifiable version of this equation.
35x2 - 38x + 8
First factor is x, but we need to know the sign of 5x in your equation...
Doesn't factor evenly, use quadratic equation
(x - 4)(2x + 3)
28w2 + 196wd + 343d2 = 7(2w + 7d)2.
It can't be factored because its discriminant is less than zero.
The first equation factors to (3x + 2)(3x + 4) The second equation factors to (3a + 2b)(3a + 4b)
a2 + 12a + 27 = (a + 3)(a + 9)
The discriminant is less than 0 so the equation has no real roots and therefore, no real factors.