Answer:
Step-by-step explanation:
I am assuming you want to factor these functions
G= -x^2 - 2xy - y^2
= -(x^2 + 2xy + y^2)
We need 2 terms whose product is y^2 and whose sum is +2xy
- they are + x and + y
= - (x + y)(x + y)
= -(x + y)^2
The other functions are worked out in the same way:
K = x^2 + 4y^2 + 4xy
= (x + 2y)(x + 2y)
= (x + 2y)^2
H = 4x^2 - 12xy + 9y^2
= (2x - 3y)^2
L= 25 - 10 + y^2
= (5 - y)^2
M = 10y^4 + 25x^6 +y^8
- this is prime (no factors)
