## 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 integ

Question

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

## Answers ( )

Answer: U= 5x*3 and V=3

Factored: (5x^3 -3)^2

Answer: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: