SOLUTION: Find the missing term in each perfect square trinomial? 9^2+?+25

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Question 784498: Find the missing term in each perfect square trinomial?
9^2+?+25
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
9x%5E2=%283x%29%5E2
25=5%5E2
The perfect square trinomial is the square of binomial 3x%2B5
The missing term is
2%2A%283x%29%2A%285%29=highlight%2830x%29

The square of a sum (like 3x%22%2B%225)
is the sum of the two squares (in this case %283x%29%5E2 and 5%5E2)
plus "two rectangles" (twice the product of the squared terms).
It is what you do in real life when you make a square larger: