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

The solution to expand (k+1)(k+2)(2k+3) is 2k^3+9k^2+13k+6

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expand (k+1)(k+2)(2k+3)

expand

(k + 1) (k + 2) (2 k + 3)

2 k^{3} + 9 k^{2} + 13 k + 6

Solution steps

(k + 1) (k + 2) (2 k + 3)

Expand

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

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

Distribute parentheses

= k^{2} \cdot 2 k + k^{2} \cdot 3 + 3 k \cdot 2 k + 3 k \cdot 3 + 2 \cdot 2 k + 2 \cdot 3

Simplify

k^{2} \cdot 2 k + k^{2} \cdot 3 + 3 k \cdot 2 k + 3 k \cdot 3 + 2 \cdot 2 k + 2 \cdot 3 : 2 k^{3} + 9 k^{2} + 13 k + 6

= 2 k^{3} + 9 k^{2} + 13 k + 6

\frac{12 x}{4 x ^{3}}

lo g_{4} (24) - lo g_{4} (6)

\frac{x ^{2} - x - 12}{x ^{2} - 2 x - 8}

- (x + 3)^{2}

\frac{1}{4} \div 3

What is expand (k+1)(k+2)(2k+3) ?
The solution to expand (k+1)(k+2)(2k+3) is 2k^3+9k^2+13k+6