Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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 choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.