How do you simplify $2 x (x^{2} - 3)$ $2x(x^2-3)$ ?

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How do you simplify $2 x (x^{2} - 3)$ $2x(x^2-3)$ ?

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Answer 1 · 2017-04-04T07:53:48

$2 x^{3} - 6 x$ $2x^3-6x$

Explanation:

Each term in the bracket is multiplied by 2x as shown below.

$2 x (x^{2} - 3)$ $color(red)(2x)(x^2-3)$

$= (2 x \times x^{2}) + (2 x \times - 3)$ $=(color(red)(2x)xx x^2)+(color(red)(2x)xx-3)$

$= 2 x^{3} + (- 6 x)$ $=2x^3+(-6x)$

$= 2 x^{3} - 6 x$ $=2x^3-6x$

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How do you simplify $2 x (x^{2} - 3)$ $2x(x^2-3)$ ?

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