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

Step-by-step 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

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