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

2 Answers

4 votes

Answer:

Y^2-10+25=(y-5)^2

Explanation:

User Maciej Treder
by
4.7k points
5 votes

Answer:

(y+5)²

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

User Alexander Van Dijk
by
4.6k points