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sergiy2304 [10]
2 years ago
6

Factor the expression. 9b2 – 25

Mathematics
2 answers:
rewona [7]2 years ago
5 0

Answer: (3b + 5)(3b - 5)

Because both terms, 9b² and 25, are perfect squares, you can factor by taking the square roots of both terms.

The square root of 9b² is 3b (3b × 3b = 9b²).

The square root of 25 is 5 (5 × 5 = 25).

9b² - 25 has a negative, so the factored expression would be

(3b + 5)(3b - 5). The signs (+ and -) alternate in this case because the  expression, 9b² - 25, has no middle term.

You can check your work by using FOIL. See the attachment below.

F irst

O utside

I nside

L ast

Aleks [24]2 years ago
4 0

Answer:

(3b + 5)(3b - 5)

Step-by-step explanation:

(3b + 5)(3b - 5)

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