Consider a binomial where both terms are positive.
False. The binomial a^2+b^2 cannot be factored.
Practice makes perfect
We are given the following statement.
All binomials that have a perfect square
in each of the two terms can be factored.If we consider the difference of two perfect squares, then it can be factored.
a^2-b^2 = (a+b)(a-b)
However, if we consider the sum of two perfect squares, it cannot be factored.
a^2+b^2
The above expression is a counterexample to the given statement. Thus, it is false.