U²-2uv-48v²
u(u-8v)+6v(u-8v)
(u+6v)(u-8v)
Hey there!
3.14(a^2 + ab)
= 3.14(3^2 + 3 *4)
3^2
= 3 * 3
= 9
3 * 4
= 12
3.14(9 + 12)
9 + 12
= 21
3.14(21)
= 65.94
Answer: 65.94
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Start with
![\dfrac{\sqrt{3}}{\sqrt[4]{2}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%7B3%7D%7D%7B%5Csqrt%5B4%5D%7B2%7D%7D)
Multiply and divide by the cubic root of two:
![\dfrac{\sqrt{3}}{\sqrt[4]{2}}\cdot\dfrac{\sqrt[4]{2^3}}{\sqrt[4]{2^3}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%7B3%7D%7D%7B%5Csqrt%5B4%5D%7B2%7D%7D%5Ccdot%5Cdfrac%7B%5Csqrt%5B4%5D%7B2%5E3%7D%7D%7B%5Csqrt%5B4%5D%7B2%5E3%7D%7D)
Multiplying the fractions leads to
![\dfrac{\sqrt{3}}{\sqrt[4]{2}}\cdot\dfrac{\sqrt[4]{2^3}}{\sqrt[4]{2^3}}=\dfrac{\sqrt{3}\sqrt[4]{2}}{\sqrt[4]{2\cdot 2^3}}=\dfrac{\sqrt{3}\sqrt[4]{2}}{\sqrt[4]{2^4}}=\dfrac{\sqrt{3}\sqrt[4]{2}}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%7B3%7D%7D%7B%5Csqrt%5B4%5D%7B2%7D%7D%5Ccdot%5Cdfrac%7B%5Csqrt%5B4%5D%7B2%5E3%7D%7D%7B%5Csqrt%5B4%5D%7B2%5E3%7D%7D%3D%5Cdfrac%7B%5Csqrt%7B3%7D%5Csqrt%5B4%5D%7B2%7D%7D%7B%5Csqrt%5B4%5D%7B2%5Ccdot%202%5E3%7D%7D%3D%5Cdfrac%7B%5Csqrt%7B3%7D%5Csqrt%5B4%5D%7B2%7D%7D%7B%5Csqrt%5B4%5D%7B2%5E4%7D%7D%3D%5Cdfrac%7B%5Csqrt%7B3%7D%5Csqrt%5B4%5D%7B2%7D%7D%7B2%7D)