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

The solution to expand (3x-2)(2x+1)^2 is 12x^3+4x^2-5x-2

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

expand

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

12 x^{3} + 4 x^{2} - 5 x - 2

Solution steps

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

= (2 x + 1)^{2} (3 x - 2)

Expand

(2 x + 1)^{2} : 4 x^{2} + 4 x + 1

= (4 x^{2} + 4 x + 1) (3 x - 2)

Distribute parentheses

= 4 x^{2} \cdot 3 x + 4 x^{2} (- 2) + 4 x \cdot 3 x + 4 x (- 2) + 1 \cdot 3 x + 1 \cdot (- 2)

Simplify

4 x^{2} \cdot 3 x + 4 x^{2} (- 2) + 4 x \cdot 3 x + 4 x (- 2) + 1 \cdot 3 x + 1 \cdot (- 2) : 12 x^{3} + 4 x^{2} - 5 x - 2

= 12 x^{3} + 4 x^{2} - 5 x - 2

\frac{50}{60}

\frac{- 2}{11} + \frac{- 9}{11}

16 x^{2} - 25 y^{4}

- 5 i (i)

(a^{2} + 4) (a^{2} - 4)

What is expand (3x-2)(2x+1)^2 ?
The solution to expand (3x-2)(2x+1)^2 is 12x^3+4x^2-5x-2