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Factor $9p^2 + 30p + 25.$ pls help

1 Answer

2 votes

Answer:

(3p + 5)^2

Explanation:

9p^2 + 30p + 25

9p^2 is the square of 3p = a

25 is the square of 5 = b

This may be the square of a binomial.

We need to check the middle term.

(a + b)^2 = a^2 + 2ab + b^2

2ab = 2(3p)(5) = 30p

This is the square of a binomial.

9p^2 + 30p + 25 = (3p + 5)^2

User Camron B
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