1-xy-20x^2y^2 please solve

Question

factoring this equation

Answer 1

Variable change: z=xy

 

As a result of substitution, you will get the following expression:

 

1-z-20z² . If you need to factor this, use quadratic formula:

 

z_1,2=-[1±√(1+20*4)]/40=-(1±9)/40

z₁=-1/4; z₂=1/5; Therefore

 

1-z-20z²=(1-5z)*(4z+1)

 

Substituting xy for z, we will obtain final factoring:

 

1-xy-20x²y²=(1-5xy)*(4xy+1)

 

Since you did not specify what the equation is, I would leave the rest to you.