MimiOmaru
MimiOmaru MimiOmaru
  • 02-03-2021
  • Mathematics
contestada

Factor the polynomial completely.

9g^2 - 30gh + 25h^2

Factor the polynomial completely 9g2 30gh 25h2 class=

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jcherry99
jcherry99 jcherry99
  • 02-03-2021

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.

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