How To: Factor out when doing rational expressions in algebra

Factor out when doing rational expressions in algebra

This video shows the method to simplify rational expressions. The example used in the video is multiple of 4 and x square plus multiple of 4 and x plus 1 or (4x^2 + 4x + 1)/(2x^3 + 11x^2 + 5x). As the first and last term is a perfect square we get the simplified numerator as (2x + 1)(2x + 1). Next, the denominator is simplified. Taking the common factor out we get x(2x^2 + 11x + 5). Now we factorize 2x^2 + 11x + 5. We get (2x + 1)(x + 5 ). Now, writing the terms in numerator and denominator we get [(2x + 1)(2x + 1)]/[x(2x + 1)(x + 5)]. Cancelling the common factor we get (2x + 1)/[x(x + 5)] as the final answer.

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