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a continuous time signals x(t) which is neither odd (or) even can be expressed as a sum of even and odd signals let x(t)=xe(t)+xo(t) =xe(t)= even part of x(t) =xo(t)=odd part of x(t)
Yes it would Even + even = even Even + odd = odd Odd + odd = even
Best example is that an "odd" (or "even") function's Maclaurin series only has terms with odd (or even) powers. cos(x) and sin(x) are examples of odd and even functions with easy to calculate Maclaurin series.
because that's the theory of maths even x even = even even x odd = odd even + even = even even + odd = odd
because... odd+odd=even even+odd=odd e.g 1+1+1=3 odd+odd+odd=odd