Question

Find the missing term in factoring perfect squares of a trinomial- ?-xy+y^2

Answer 1

Please answer

Answer 2

(a - b)^2 = a^2 - 2ab + b^2
For the last term the trinomial has y^2; that means the second term of the squared binomial must be y.
( - y)^2
Notice that when you have (a - b)^2, the middle term is -2ab. Here you only have -xy.
If the first term of the binomial were x, then (x - y)^2 would give a middle term of
-2xy, but you only have -xy, so the first term of the binomial must be x/2. Now we have the binomial squared as:
( x/2 - y)^2
If you square it, you get: (x^2)/4 - xy + y^2