Question

a^2m+2a^mb^n+b^2n factored is....? and why? PLEASE HELP!! I'll fan!! and be SOOO happy!

Answer 1

The given expression is:\[a^{2m}+2a^mb^n+b^{2n}\]
You will see that this can be written as:
\[(a^m)^2+2(a^m)(b^n)+(b^n)^2\]
Does this remind you of a similar expression?
let \(a^m=x\), \(b^n=y\)
then, you have\[x^2+2xy+y^2\]
this is a perfect square of a binomial.