What is expand ,(6-2x)(20-2x)(x) ?

The solution to expand ,(6-2x)(20-2x)(x) is 120x-52x^2+4x^3

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expand ,(6-2x)(20-2x)(x)

expand

(6 - 2 x) (20 - 2 x) (x)

120 x - 52 x^{2} + 4 x^{3}

Solution steps

(6 - 2 x) (20 - 2 x) (x)

Apply rule:

(a) = a

(x) = x

= (6 - 2 x) (20 - 2 x) x

= x (6 - 2 x) (20 - 2 x)

Apply FOIL method

(6 - 2 x) (20 - 2 x) : 120 - 52 x + 4 x^{2}

= x (120 - 52 x + 4 x^{2})

Apply the distributive law:

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

x (120 - 52 x + 4 x^{2}) = x \cdot 120 + x (- 52 x) + x \cdot 4 x^{2}

= x \cdot 120 + x (- 52 x) + x \cdot 4 x^{2}

Simplify

x \cdot 120 + x (- 52 x) + x \cdot 4 x^{2} : 120 x - 52 x^{2} + 4 x^{3}

= 120 x - 52 x^{2} + 4 x^{3}

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What is expand ,(6-2x)(20-2x)(x) ?
The solution to expand ,(6-2x)(20-2x)(x) is 120x-52x^2+4x^3