express 10*sin*w.t in the form A*sin*w.t + B*sin*w.t

It is already in the form you want. Just set A = 10 and B = 0.

To express the expression 10*sin(wt) in the form A*sin(wt) + B*sin(wt), you can rewrite it as:

A*sin(wt) + B*sin(wt)

Since the expression is already in the form of sin(wt), you can set A = 10 and B = 0:

10*sin(wt) + 0*sin(wt)

This simplifies to:

10*sin(wt)

So the expression 10*sin(wt) is already in the form A*sin(wt) + B*sin(wt), where A = 10 and B = 0.