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andreyandreev [35.5K]
2 years ago
5

The volume of a cube can be found by using the formula V equals as s to the 3rd power were s represents the length of each side

of the cube find the volume of a cube if each side is 4a to the second power and B to the 4th power
Can someone plz answer this question?​
Mathematics
1 answer:
Dominik [7]2 years ago
4 0

Answer:

V = 64a^6+48a^4b^4+12a^2b^8+b^{12}

Step-by-step explanation:

The volume of a cube is V = s*s*s. Substitute s = 4a^2 + b^4

V = (4a^2 + b^4)(4a^2+b^4)(4a^2+b^4)\\V = (16a^4 + 4a^2b^4 + 4a^2b^4 + b^8)(4a^2+ b^4)\\V = (16a^4 + 8a^2b^4+b^8)(4a^2+b^4)\\V = 64a^6 + 32a^4b^4+4a^2b^8+16a^4b^4+8a^2b^8+b^{12}\\V = 64a^6+48a^4b^4+12a^2b^8+b^{12}

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