What is expand (3x+4)(x-2)(4x-1) ?

The solution to expand (3x+4)(x-2)(4x-1) is 12x^3-11x^2-30x+8

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expand (3x+4)(x-2)(4x-1)

expand

(3 x + 4) (x - 2) (4 x - 1)

12 x^{3} - 11 x^{2} - 30 x + 8

Solution steps

(3 x + 4) (x - 2) (4 x - 1)

Expand

(3 x + 4) (x - 2) (4 x - 1) : (3 x^{2} - 2 x - 8) (4 x - 1)

= (3 x^{2} - 2 x - 8) (4 x - 1)

Distribute parentheses

= 3 x^{2} \cdot 4 x + 3 x^{2} (- 1) - 2 x \cdot 4 x - 2 x (- 1) - 8 \cdot 4 x - 8 (- 1)

Simplify

3 x^{2} \cdot 4 x + 3 x^{2} (- 1) - 2 x \cdot 4 x - 2 x (- 1) - 8 \cdot 4 x - 8 (- 1) : 12 x^{3} - 11 x^{2} - 30 x + 8

= 12 x^{3} - 11 x^{2} - 30 x + 8

(2 - 96) (5 - 42)

\frac{130}{3}

t^{2} \cdot 2 t

1 - - 28 + 144 + - 63

lo g_{10} (40) + lo g_{10} (25)

What is expand (3x+4)(x-2)(4x-1) ?
The solution to expand (3x+4)(x-2)(4x-1) is 12x^3-11x^2-30x+8