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8 votes
Help! How Can I Use factoring to write an expression equivalent to -> 25m^2−81n^2

User Semyon Kirekov
by
3.1k points

2 Answers

17 votes
17 votes

Answer:

(5m + 9n)(5m - 9n)

Explanation:

we know a² - b² = (a + b)(a - b)

=> Similarly, 25m² - 81n²

=> (5m + 9n)(5m - 9n)

User Recker
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3.3k points
25 votes
25 votes

Answer:

(5m-9n) (5m+9n)

Explanation:

25m^2−81n^2

Rewriting each term

(5m)^2 - (9n)^2

This is the difference of squares

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

(5m-9n) (5m+9n)

User Mohammad Alabed
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3.3k points