Question

supply missing term to make expression perfect trinomial 25m^2+________+4n^2

Answer 1

(5m)(2n) = 10 m n, and that's your blank-filler.

Answer 2

so do you just find the lowest common factor for both? and multiply them?

Answer 3

Start off taking the positive square roots of the first term and the last term.\[\sqrt{25 m^{2}}= 5m,\]\[\sqrt{4n^{2}} = 2n.\]Multiply 5m by 2n and double the product to get 20mn. That fills in the blank.

Answer 4

I had posted 10nm earlier. That is in error.