3 years ago

If (x - 3) represents the side of a cube, what is thepolynomial that represents its volume?

Mathematics

1 answer:

hichkok12 [17]3 years ago

3 0

Answer:

x³ - 9x² + 27x - 27

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the measure of the side ) , thus

V = (x - 3)³

= (x - 3)(x - 3)(x - 3) ← expand the second/ third factors using FOIL

= (x - 3)(x² - 6x + 9) ← distribute

= x³ - 6x² + 9x - 3x² + 18x - 27 ← collect like terms

= x³ - 9x² + 27x - 27

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3 years ago

a bathtub is in the shape of a rectangular prism. its dimensions are 5 feet by 3 feet by 18 inches. the bathtub is three-fourths

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4 years ago

10 times the quantity 9 minus a number x

Svetllana [295]

Answer:

$10 \times 9 - x \\ x = 10 \times 9 \\ x = 90$