What is expand ((k^3+8k^2+10k+21))/((k+7)) ?

The solution to expand ((k^3+8k^2+10k+21))/((k+7)) is k^2+k+3

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expand ((k^3+8k^2+10k+21))/((k+7))

expand

\frac{( k ^{3} + 8 k ^{2} + 10 k + 21 )}{( k + 7 )}

k^{2} + k + 3

Solution steps

\frac{k ^{3} + 8 k ^{2} + 10 k + 21}{k + 7}

Factor

k^{3} + 8 k^{2} + 10 k + 21 : (k + 7) (k^{2} + k + 3)

= \frac{( k + 7 ) ( k ^{2} + k + 3 )}{k + 7}

Cancel the common factor:

k + 7

= k^{2} + k + 3

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What is expand ((k^3+8k^2+10k+21))/((k+7)) ?
The solution to expand ((k^3+8k^2+10k+21))/((k+7)) is k^2+k+3