What is (a^{x+3}+a^x)/(a+1) ?

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

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simplify (a^{x+3}+a^x)/(a+1)

simplify

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

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

Solution steps

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

Factor

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

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

Cancel the common factor:

a + 1

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

(a + b) (a^{2} + ab + b^{2})

a (x + y) - (x + y)^{2}

\frac{- 24}{- 8}

3 y^{3} - y - 5 - 5 - 6 y + 5 + 6 y^{3}

- 9 k - 3 - 9 k - 4

What is (a^{x+3}+a^x)/(a+1) ?
The solution to (a^{x+3}+a^x)/(a+1) is a^x(a^2-a+1)