Question

Hi help and explain pls

We want to factor the following expression:

`(x - 5)^(2) + 2y^(3)(x - 5) + y^(6)`
We can factor the expression as (U+V)^2 where U and V are either constant integers or single-variable expressions.

photo:

1) What are U and V?

2) Factor the expression.​

Answer 1

Explanation:

U = (x - 5)

V = y^3

because we follow the rule

(U+V)^2 = U^2 + 2UV + V^2

factor the expression will be

`((x - 5) + {y}^(3) )((x - 5) + {y}^(3) )`