What is expand x(12-2x)(42-2x) ?

The solution to expand x(12-2x)(42-2x) is 504x-108x^2+4x^3

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expand x(12-2x)(42-2x)

expand

x (12 - 2 x) (42 - 2 x)

504 x - 108 x^{2} + 4 x^{3}

Solution steps

x (12 - 2 x) (42 - 2 x)

Expand

x (12 - 2 x) (42 - 2 x) : x (504 - 108 x + 4 x^{2})

= x (504 - 108 x + 4 x^{2})

Apply the distributive law:

m (a + b + c) = ma + mb + m c

x (504 - 108 x + 4 x^{2}) = x \cdot 504 + x (- 108 x) + x \cdot 4 x^{2}

= x \cdot 504 + x (- 108 x) + x \cdot 4 x^{2}

Simplify

x \cdot 504 + x (- 108 x) + x \cdot 4 x^{2} : 504 x - 108 x^{2} + 4 x^{3}

= 504 x - 108 x^{2} + 4 x^{3}

(s^{3} - 2 s - 9) + (2 s^{2} - 6 s^{3} + s)

(1 \frac{1}{2})^{3}

\frac{1}{4} \div \frac{5}{6}

\frac{x ^{2} + x - 6}{x ^{2} - 5 x + 6}

sin^{2} (x) csc^{2} (x)

What is expand x(12-2x)(42-2x) ?
The solution to expand x(12-2x)(42-2x) is 504x-108x^2+4x^3