What is (k(k+1)(k+2))/(3+(k+1)(k+2)) ?

The solution to (k(k+1)(k+2))/(3+(k+1)(k+2)) is (k(k+1)(k+2))/(k^2+3k+5)

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simplify (k(k+1)(k+2))/(3+(k+1)(k+2))

simplify

\frac{k ( k + 1 ) ( k + 2 )}{3 + ( k + 1 ) ( k + 2 )}

\frac{k ( k + 1 ) ( k + 2 )}{k ^{2} + 3 k + 5}

Solution steps

\frac{k ( k + 1 ) ( k + 2 )}{3 + ( k + 1 ) ( k + 2 )}

Expand

(k + 1) (k + 2) : k^{2} + 3 k + 2

= \frac{k ( k + 1 ) ( k + 2 )}{3 + k ^{2} + 3 k + 2}

Simplify

3 + k^{2} + 3 k + 2 : k^{2} + 3 k + 5

= \frac{k ( k + 1 ) ( k + 2 )}{k ^{2} + 3 k + 5}

\frac{( 4 x ^{2} - 12 x + 9 )}{( 4 x ^{2} - 9 )}

\frac{( 3 - 3 b ) ^{2} - 1}{4 \cdot b}

\frac{( x ^{2} + 2 x )}{( x ^{2} + 4 x + 4 )}

(d^{3} - 2 d)^{4}

(4 - d)^{3}

What is (k(k+1)(k+2))/(3+(k+1)(k+2)) ?
The solution to (k(k+1)(k+2))/(3+(k+1)(k+2)) is (k(k+1)(k+2))/(k^2+3k+5)