Rational expression in lowest term - question from Euler’s element of algebra How do I convert this expression to lowest form? 5 a 5 + 10 a 4 x + 5 a 3 x 2 a 3 x + 2 a 2 x 2 + 2 a x 3 + x 4

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Rational expression in lowest term - question from Euler’s element of algebra How do I convert this expression to lowest form?                    5                  a          5                +        10                  a          4                x        +        5                  a          3                          x          2                                      a          3                x        +        2                  a          2                          x          2                +        2        a                  x          3                +                  x          4

brulotfao · Accepted Answer

Hint: factor the numerator, first, which should give a hint of what to look for in the denominator:                      5                  a          3                (                  a          2                +        2        a        x        +                  x          2                )                    x        (                  a          3                +        2                  a          2                x        +        2        a                  x          2                +                  x          3                )              =                    5                  a          3                (        a        +        x                  )          2                            x        (        a        +        x        )        (                  a          2                +        a        x        +                  x          2                )

Rational expression in lowest term - question from Euler’s element of algebra How do I convert this expression to lowest form? (5a^5+10a^4x+5a^3x^2)/(a^3x+2a^2x^2+2ax^3+x^4)

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