Mathematics: The side length, s, of a cube is 4x^2+3. if v=s^3, what is the volume of the cube?

The side length, s, of a cube is 4x^2+3. if v=s^3,

Ответ:

alisharodriguez1

10.03.2022

The volume of the cube is $(4x^{2} +3)(4x^{2} +3)(4x^{2} +3)$ .

To simplify this, use the FOIL method between the first two terms, and then the product and the last term:

$(4x^{2} +3)(4x^{2} +3)(4x^{2} +3)\\(16x^{4}+12x^{2} +12x^{2} +9)(4x^{2} +3)\\(16x^{4}+24x^{2} +9)(4x^{2} +3)\\(64x^{6}+48x^{4} +96x^{4}+72x^{2} +36x^{2}+27)\\ 64x^{6}+144x^{4}+108x^{2} +27$

The answer is the first choice.

Hope this helps!!

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Ответ:

sdwhitneyhillis

02.01.2021

Mathematics

2/5

Step-by-step explanation:

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The side length, s, of a cube is 4x^2+3. if v=s^3, what is the volume of the cube?

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