Question 349153
You are multiplying, not factoring. This is why your answer is not correct. Factoring is "un-multiplying". In other words, factoring an expression is rewriting it as a product of two or more factors.<br>
The short way to factor your expression takes advantage of the fact that the first half of your expression and the second half of your expression have a common factor (shown in red below):
{{{y*red((x^7+5))+5*red((x^7+5))}}}
Common factors can be factored out. (This is using the Distributive Property in reverse.)
{{{red((x^7+5))*(y+5)}}}
This is the factored form of your original expression. The entire expression is now a product of two expressions.<br>
(Look at using the Distributive property on the answer, multiplying the expression in red with both terms of (y+5). Won't you end up with what you started with?).