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The side length of a cube is (x^2-1/2).
Determine the volume of the cube.

Sagot :

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Answer:

Step-by-step explanation:

x^6 − (3x^4)/2 + (3x^2)/4 − 1/8

The volume of a cube is Length^3.

If a length is (x^2-1/2, then cube root it

It will then be (x^2-1/2) x (x^2-1/2) x (x^2-1/2).

FOIL each term and evaluvate

[tex]\\ \sf\longmapsto volume=side^3[/tex]

[tex]\\ \sf\longmapsto volume=(x^2-1/2)^3[/tex]

[tex]\\ \sf\longmapsto volume=(x^2)^3-3x^4(1/2)+3x^2(1/2)^2-(1/2)^3[/tex]

[tex]\\ \sf\longmapsto Volume=x^6-3x^4/2+3x^2/4-1/8[/tex]

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