Question

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?​

Answer 1

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 $s = 4a^2 + b^4$

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