# apply a factoring formula

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1. How would you apply a factoring formula to completely factor the expression "x4 - 1"?

2.

i. What does the symbol "i" represent?

ii. Is "12.5555..." a rational or irrational number? Explain.

iii. Is "2.1273685..." a rational or irrational number? Explain.

iv. Is "548/799" a rational or irrational number? Explain.

v. Simplify "(5 + 3i)(5 - 3i)." Is the result real, complex, or both? Explain.

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##### Solution Summary

This job uses a factoring formula.

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How would you apply a factoring formula to completely factor the expression "x4 - 1"?

The factoring formula u^2-1=(u+1)(u-1) with u=x^2 gives

(x^2 )^2-1= x^4-1=(x^2+1)(x^2-1)

Further factoring the second factor by re-applying the above rule ...

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