multiplying binomials with $e^x$ being one of the terms If I have the problem:
$$(5x^3+e^x)(5+e^x)$$
i use FOIL to get:
$$25x^3+5x^3e^x+5e^x+(e^x)^2$$
is this correct?

Tip: Write $a=5x^3; b=e^x; c=5; d=e^x$. Now you have $$(a+b)(c+d)$$ and we know that $(a+b)(c+d) = ac+ac+bc+bd$. Now put the values back in and group the results: $$5x^3e^x+25x^3+5e^x+e^{2x}$$
