## 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

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?

in progress 0
3 weeks 2021-11-08T23:17:35+00:00 2 Answers 0 views 0

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

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