How do you factor #15x^2 y^3 + 10x^4 y^8#?

1 Answer
May 22, 2015

You can factor out the elements that are multiplying both parts of the equation. One step-by-step way of doing so is decoupling (which you could do mentally or by intuition, with time) your function


Now that we've found what both terms share, let's factor it out, multiplying what's left:


In order to prove you're right, you can resort to the exponential law which states that #x^n*x^m=x^(n+m)# and distribute your factor. ;)