Factor the polynomial completely.
9g^2 - 30gh + 25h^2
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Answer:
Step-by-step explanation:
It's a perfect square.
It factors into (3g - 5h)^2
or (3g - 5h)(3g - 5h)
Make sure it is correctly factored.
3g*3g = 9g^2
3g * - 5h = - 15gh
-5h*3g = - 15gh
5h*5h = 25h^2
These four terms add to 9g^2 - 15gh - 15gh + 25h^2 = 9g^2 - 30gh + 25h^2 which is exactly what you started with.