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What is Difference of two square?

Updated: 4/28/2022
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15y ago

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The difference of two squares is quick way to factor polynomials when certain constraints are met: Namely that you have two squares (e.g. 4, 25, 36x2 , 144a6) and one is subtracting from the others (e.g. 25 - 36x2).

IF these two constraints are met, then you are able to factor the polynomial by finding the square roots of the squares.

sqrt(25)=5

sqrt(36x2) = 6x

Therefore 25 - 36x2 = (5+6x)(5-6x) in factored form.

In general, given any two squares, a2 and b2, AND they are subtracting, a2 - b2, you can factor them to be (a + b)(a - b).

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