Question

Replace * with a monomial so that the trinomial may be represented by a square of a binomial:

Answer 1

Answer:

Since:

a^2-2ab+b^2 = (a-b)^2

and

a^2+2ab+b^2 = (a+b)^2

We need to find value of * which is 2ab

In your equation = $\sqrt{6.25} = 2.5 and \sqrt{1/4} = 0.5\\Now 2ab = 2 * 2.5 * 0.5\\ = 2.5\\\\\\* = 2.5ab$