How do you simplify $(a + 2 a^ 2 + a) /( a + 2 a^ 3)$ ?

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Answer 1 · 2018-05-31T20:10:14

$\frac{2(a+1)}{a^2+1}$

You can sum similar terms in the numerator: $a+2a^2+a = 2a^2+2a$

Once written in this form, you can factor $a$ from both numerator and denominator (and an additional $2$ from the numerator):

$\frac{2a^2+2a}{2a^3+a} = \frac{2cancel(a)(a+1)}{cancel(a)(a^2+1)} = \frac{2(a+1)}{a^2+1}$

How do you simplify (a + 2 a^ 2 + a) /( a + 2 a^ 3) (a + 2 a^ 2 + a) /( a + 2 a^ 3) ?