What is expand [(k+1)(k+2)]^2 ?

The solution to expand [(k+1)(k+2)]^2 is k^4+6k^3+13k^2+12k+4

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expand [(k+1)(k+2)]^2

expand

[(k + 1) (k + 2)]^{2}

k^{4} + 6 k^{3} + 13 k^{2} + 12 k + 4

Solution steps

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

Expand

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

= (k^{2} + 3 k + 2)^{2}

(k^{2} + 3 k + 2)^{2} = (k^{2} + 3 k + 2) (k^{2} + 3 k + 2)

= (k^{2} + 3 k + 2) (k^{2} + 3 k + 2)

Expand

(k^{2} + 3 k + 2) (k^{2} + 3 k + 2) : k^{4} + 6 k^{3} + 13 k^{2} + 12 k + 4

= k^{4} + 6 k^{3} + 13 k^{2} + 12 k + 4

\frac{( 1 + a ^{2} ) ( 1 + b ^{2} )}{ab}

\frac{( x ^{2} + 1 ) ( x ^{3} - 1 )}{x}

4 (2 sin (x - 2 t) + 2 e^{x + 2 t})

\frac{( ( x + 1 ) ( x + 2 ) ( 2 x + 3 ) )}{6}

\frac{6 x - 42}{( x - 4 ) ( x - 6 )}

What is expand [(k+1)(k+2)]^2 ?
The solution to expand [(k+1)(k+2)]^2 is k^4+6k^3+13k^2+12k+4