Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. y^2+10y

(y+5) ²

Step-by-step explanation:

Every perfect square trinomial, completes the rule:

(a+b) ² = (a²+2ab+b²)

Let's complete the PST:

(a) would be the square root of y², which is y.

(b) would be a number that multiplied by 2y gives us 10y, which is 5.

Our perfect square trinomial is y²+10y+25

Finally, using the mentioned rule, the binomial square for that equation is (y+5) ²