Factor completely: 27x2-75y2 Question 1 options: - 3 (-27x2-25y2) - 3 (3x+5y) 2 3 (3x-5y) 2 3 (3x+5y) (3x-5y)

Question

Mathematics

Kelvin Copeland

26 December, 04:28

Factor completely: 27x2-75y2 Question 1 options: - 3 (-27x2-25y2) - 3 (3x+5y) 2 3 (3x-5y) 2 3 (3x+5y) (3x-5y)

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Answers (1)

Know the Answer?

Luke Summers · Answer 1

3 (3x-5y) (3x+5y)

Step-by-step explanation:

27x^2-75y^2

Factor out a 3

3 (9x^2 - 25y^2)

This is the difference of squares

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

a^2 = 9x^2 so a = 3x

b^2 = 25y^2 = 5y

3 (9x^2 - 25y^2) = 3 (3x-5y) (3x+5y)