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Popular >

simplify (a^4+a)/(a+1)

Solution

simplify

\frac{a ^{4} + a}{a + 1}

Solution

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

Solution steps

\frac{a ^{4} + a}{a + 1}

Factor

a^{4} + a : a (a^{3} + 1)

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

Factor

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

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

Cancel the common factor:

a + 1

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

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Frequently Asked Questions (FAQ)

What is (a^4+a)/(a+1) ?
The solution to (a^4+a)/(a+1) is a(a^2-a+1)