Practice problem
Let f(x)=axbf(x)=ax^bf(x)=axb and g(x)=cxdg(x)=cx^dg(x)=cxd where aaa, bbb, ccc, and ddd are positive integers. Find g(x)f(x)g(x)f(x)g(x)f(x).
acxbdacx^{bd}acxbd
acxb+dacx^{b+d}acxb+d
(a+c)xbd(a+c)x^{bd}(a+c)xbd
(a+c)xb+d(a+c)x^{b+d}(a+c)xb+d
Type a concept, like “slope” or “photosynthesis”.