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Jaidyn Ayers
Mathematics
22 February, 15:02
Fine the product mentally. [ (x+1) (x-1) ^2
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Autumn Atkins
22 February, 15:07
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If the product is: [ (x+1) (x-1) ]^2, the answer is:
[ (x+1) (x-1) ]^2 = [x^2-1]^2 = x^4-2x^2+1
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Danielle Hall
22 February, 15:11
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x^4 - 2x^2 + 1
Step-by-step explanation:
[ (x+1) (x-1) ]^2
We notice that this is the difference of squares
a^2 - b^2 = (a+b) (a-b)
Since we have (x+1) (x-1), it simplifies to (x^2 - 1)
[x^2-1]^2
We know (a-b) ^2 is a^2 - 2ab + b^2
[x^2-1]^2 = x^4 - 2x^2 + 1
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