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

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

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expand (x+1)(x+2)(2x+3)

expand

(x + 1) (x + 2) (2 x + 3)

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

Solution steps

(x + 1) (x + 2) (2 x + 3)

Expand

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

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

Distribute parentheses

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

Simplify

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

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

\frac{144}{25}

(m - n - 1) (m - n + 1)

(- 5) + (- 13)

20 + a^{2} - 21

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