mohamedessawy2006 mohamedessawy2006
  • 27-03-2021
  • Mathematics
contestada

The diagram shows a cuboid of volume Vcm (cubed)?
(a) Show that V = 15 + 16x-x(squared) - 2x (cubed)

The diagram shows a cuboid of volume Vcm cubed a Show that V 15 16xxsquared 2x cubed class=

Respuesta :

jimrgrant1 jimrgrant1
  • 27-03-2021

Answer:

see explanation

Step-by-step explanation:

The volume (V) of the cuboid is calculated as

V = (2x + 5)(3 - x)(x + 1)

   = (3 - x)(2x + 5)(x + 1) ← expand the pair of factors using FOIL

    = (3 - x)(2x² + 7x + 5)

    = 3(2x² + 7x + 5) - x(2x² + 7x + 5) ← distribute parenthesis

    = 6x² + 21x + 15 - 2x³ -7x² - 5x ← collect like terms and rearrange

    = 15 + 16x - x² - 2x³

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