Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Which of the following is a perfect square trinomial?

A. 25x2 + 30xy - 9y2
B. 25x2 - 30xy + 9y2
C. 25x2 - 16xy + 9y2
D. 25x2 + 16xy - 9y2

Sagot :

RedRicin
Whenever you factor a trinomial ax²+bx+c, you find two numbers that add up to b and multiply to get ac, and split bx into those values. Then factor.
With a perfect square trinomial, these values will always be the same and thus you can check by splitting it in half.

25x² + 15xy + 15xy - 9y²
5x(5x+3y) + 3y(5x-3y)
(5x+3y)(5x-3y)
even though this is factorable by splitting 15 and 15, it is not a PST

25x² - 15xy - 15xy + 9y²
5x(5x-3y) -3y(5x-3y)
(5x-3y)(5x-3y)
(5x-3y)²
PST!

25x² - 8xy - 8xy + 9y²
x(25x-8y)-y(8x-9y)
not a perfect square trinomial

25x² + 8xy + 8xy + 9y²
x(25x+y)+y(8x+y)
not a perfect square trinomial

Ans: B. 25x² - 30xy + 9y²

Answer:

B. 25x2 - 30xy + 9y2

Step-by-step explanation:

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.