SOLUTION: How would I go about factoring this polynomial? 135x^4y^2 - 60y^2 Can you please break it down step by step and use layman's terms? I'm having a lot of trouble following textbo

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How would I go about factoring this polynomial? 135x^4y^2 - 60y^2 Can you please break it down step by step and use layman's terms? I'm having a lot of trouble following textbo      Log On


   



Question 327536: How would I go about factoring this polynomial? 135x^4y^2 - 60y^2
Can you please break it down step by step and use layman's terms? I'm having a lot of trouble following textbook instructions.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How would I go about factoring this polynomial? 135x^4y^2 - 60y^2
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Find the GCF:
gcf of 135 and 60 is 15
gcf of the x factors is 1
gcf of the y factors is y^2
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So, GCF = 15y^2
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= 15y^2(9x^4-4)
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Note: 9x^4-4 is a difference of squares
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= 15y^2(3x^2-2)(3x^2+2)
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Cheers,
Stan H.