What is expand (4-5x)(1-2x)(3x+2) ?

The solution to expand (4-5x)(1-2x)(3x+2) is 30x^3-19x^2-14x+8

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expand (4-5x)(1-2x)(3x+2)

expand

(4 - 5 x) (1 - 2 x) (3 x + 2)

30 x^{3} - 19 x^{2} - 14 x + 8

Solution steps

(4 - 5 x) (1 - 2 x) (3 x + 2)

Expand

(4 - 5 x) (1 - 2 x) (3 x + 2) : (4 - 13 x + 10 x^{2}) (3 x + 2)

= (4 - 13 x + 10 x^{2}) (3 x + 2)

Distribute parentheses

= 4 \cdot 3 x + 4 \cdot 2 - 13 x \cdot 3 x - 13 x \cdot 2 + 10 x^{2} \cdot 3 x + 10 x^{2} \cdot 2

Simplify

4 \cdot 3 x + 4 \cdot 2 - 13 x \cdot 3 x - 13 x \cdot 2 + 10 x^{2} \cdot 3 x + 10 x^{2} \cdot 2 : 30 x^{3} - 19 x^{2} - 14 x + 8

= 30 x^{3} - 19 x^{2} - 14 x + 8

\frac{1}{6} - \frac{2}{3}

\frac{7}{2} - 2

\frac{1}{\frac{1}{6} + \frac{1}{3}}

(x + 3)^{2} (2 x - 5)

\frac{5}{60}

What is expand (4-5x)(1-2x)(3x+2) ?
The solution to expand (4-5x)(1-2x)(3x+2) is 30x^3-19x^2-14x+8