Conjugate (algebra)

In algebra, the conjugate of a binomial is another binomial formed by negating the second term of original binomial.[1] The conjugate of x + y is xy, where x and y are real numbers. If y is imaginary, the process is termed complex conjugation: the complex conjugate of a + bi is abi, where a and b are real.

Differences of squares

In a commutative ring, an expression of the form

can be factored to give

where one factor is the conjugate of the other. This can be useful when trying to rationalize a denominator containing radicals.

See also

References

  1. "Conjugate". www.mathsisfun.com. Retrieved 2017-06-20.
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