Question

factor 25x²-60x+36

Answer 1

Note that the leading term and constant term are both perfect squares. This makes us suspect that the factorization might be a perfect square. We need the form\[a^2+2ab+b^2=(a+b)^2\]Checking what we have in this problem,\[25x²-60x+36=(5x)^2+2(5x)(6)+6^2=(5x+6)^2\]