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How do you factor 5x^4- 5x^2

How do you factor 5x^4- 5x^2-example-1

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The greatest common factor is 5x^2 so:

5x^2(x^2-1) (now notice that the parenthetical term is the difference of perfect squares)

The rule for factoring difference of squares is: a^2-b^2=(a-b)(a+b) so:

5x^2(x+1)(x-1)
User Jayant
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