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09-02-2019
Mathematics

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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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wegnerkolmp2741o wegnerkolmp2741o

09-02-2019

Answer:

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)

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