Question

How does:
e^x(-sin(x)+cos(x))+e^x(cos(x)+sin(x))
simplify into:
2e^x(cos(x))

Answer 1

Use the distributive Law for each part and combine like terms.

Answer 2

So when you are distributing e^x and multiplying it with -sin(x), does it become -e^x(sin(x)) OR e^x(-sin(x)). Or does it not matter?

Answer 3

e^x(-sin(x)). means you have still not distributed
so,
-e^x(sin(x)). is correct term after distribution

Answer 4

Oh okay. Thanks!

Answer 5

and could u simplify that to 2e^x(cos(x)) ?

Answer 6

Yeah, everything made sense after I distributed.