Regular expression for words containing single 1 and even number of 0s

What would be a regular expression for the language of words containing a single 1 and an even number of 0s?

If a word contains exactly one 1 and an even number of zeroes, then we can decompose it in one of two different ways:

• An even number of 0s, followed by 1, followed by an even number of 0s.

• An odd number of 0s, followed by 1, followed by an odd number of 0s.

You take it from here.

StackExchange Computer Science Q#101603, answer score: 3