We want to factor the following expression: (x-5)^2+2y^3(x-5)+y^6(x−5)
2
+2y
3
(x−5)+y
6
left parenthesis, x, minus, 5, right parenthesis, squared, plus, 2, y, cubed, left parenthesis, x, minus, 5, right parenthesis, plus, y, start superscript, 6, end superscript
We can factor the expression as (U+V)^2(U+V)
2
left parenthesis, U, plus, V, right parenthesis, squared where UUU and VVV are either constant integers or single-variable expressions.
1) What are UUU and VVV?

A function being even or odd refers to the symmetry of the graph. 

Refer to the graphs attached to this answer.

To test if a function is even or odd, replace x in the function with -x. If the new graph is exactly the same as the old graph, the function is even. If not, multiply the entire function by -1. If the new graph is symmetrical to the y-axis, then the function is odd. If it isn't symmetrical, the function is neither even nor odd.

The first graph is the original function. The second graph is the function with x replaced by -x. The third graph is the function multiplied by -1.

The second graph is not equal to the original function. The third graph is symmetrical to the y-axis.

This function is odd.