3 years ago

Factor completely 9r^2 + 30r+25

Mathematics

1 answer:

olasank [31]3 years ago

3 0

Answer:

9r^2 + 30r+25 = (3r + 5)²

Step-by-step explanation:

It is given a quadratic equation,

9r^2 + 30r+25 ------(1)

a = 9, b = 30 and c = 25

ac 9 x 25 = 225 = 15 x 15

<u>Splitting middle term</u>

9r^2 + 30r+25 ------(1)

⇒ 9r^2 + 15r + 15r + 25

⇒ 3r(3r + 5) + 5(3r + 5)

⇒ (3r + 5)(3r + 5) = (3r + 5)²

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