(5_ + 6_)(5_ - 6_)
because 25x2 - 36y2 is a perfect square binomial, so their square roots fit that way. This only works if the middle sign is minus.
From there, you just plug in the x's and y's to get:
(5x + 6y)(5x - 6y)
The answer depends on the binomial.
(2x - 5) is a binomial factor
There is one way to determine weather each binomial is a factor of X-4. The division of polynomials is what determines each binomial.
(y10 + 2y5z3 + 4z6)
The expression does not have any real binomial factors. x is a monomial factor, and the other two involve complex numbers.
(12x - 6)(12x + 6)
4y - 3
it is used in the binomial nomencleature
(x + 1)(x + 5)
(x - 6)(x - 7)
(x - 2)(x - 4)
use long division.