93.7k views
1 vote
Is 9x^2-30x+25 a perfect square trinomial

User Stonyau
by
4.7k points

1 Answer

5 votes

Answer:

9x²-30x+25=(3x-5)²

Explanation:

This is a perfect square trinomial.

In general (a±b)² = a²± 2ab +b²

Notice that both 9x² = (3)² and 25 = 5² are perfect squares, so the only question is whether the middle term matches when you square (3x-5), the minus sign being chosen to at result in a negative coefficient for the middle term .

(3x-5)² = (3x)² - 2(3x)(5) +5² = 9x² - 30x + 25

I hope this helps you

User Lwohlhart
by
5.5k points