We want to factor the following expression: 25x^2−36y^8 We can factor the expression as (U+V)(U-V) where U and V are either constant integers or single-variable expressions. What are U and V?

Step-by-step explanation:

Recall that an expression that can be factored as (U+V)(U-V) using distributive property for multiplication of binomials, should render:   (the factorization given above is that of a difference of squares. Then, the idea is to write the original expression :

as a difference of perfect squares. Let's examine each term and its numerical and variable form to find if they can be written as perfect squares:

a) the term   therefore, if we assign the letter U to , the first term becomes:

b) the term    therefore, if we assign the letter V to   , this second term becomes:

With the above identification, our expression can now be factored as a difference of squares:

3100

step-by-step explanation: