What is (1+a^3)/(1+a) ?

The solution to (1+a^3)/(1+a) is a^2-a+1

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simplify (1+a^3)/(1+a)

simplify

\frac{1 + a ^{3}}{1 + a}

a^{2} - a + 1

Solution steps

\frac{1 + a ^{3}}{1 + a}

Factor

1 + a^{3} : (a + 1) (a^{2} - a + 1)

= \frac{( a + 1 ) ( a ^{2} - a + 1 )}{1 + a}

Apply the commutative law:

1 + a = a + 1

= \frac{( a + 1 ) ( a ^{2} - a + 1 )}{a + 1}

Cancel the common factor:

a + 1

= a^{2} - a + 1

2 x^{2} + 13 x = 7

(\frac{1}{x - 1})^{2}

(x - (2 - 5 i)) (x - (2 + 5 i))

3 - \frac{5}{3}