Mathematics

8x3 - 18x is equal to:

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

  2. 2x(3 - 2x) (3 + 2x)

  3. 2x(2x + 3) (2x - 3)

  4. x(4x + 6y) (4x - 6y)

Factorisation

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Answer

8x3 - 18x

= 2x (4x2 - 9)

= 2x ((2x)2 - (3)2)

Using the formula

[∵ (x2 - y2) = (x + y)(x - y)]

= 2x (2x - 3)(2x + 3)

Hence, option 3 is the correct option.

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