77!*(77!-2 * 54!)3/(77! + 54!)3 + 54! * (2 * 77! -54! )3 / (77!+ 54!)3=?
(a) 2*77!+2*54! (b) 77!-54! (c) 77!+54! (d) 2*77!-2* 54!
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answer is (b) 77! - 54!
77! * (77! - 2 * 54!)³ / (77! + 54!)³ + 54! * (2 * 77! - 54!)³ / (77! + 54!)³
![\frac{77! (77! - 2* 54!)^3 + 54! (2* 77! - 54!)^3}{(77! + 54!)^3}\\\\Nr=77!^4-3*77!^3*2*54!+3*77!^2*2^2*54!^2-77!*2^3*54!^3\\\\+54!*2^3*77!^3-3*2^2*77!^2*54!^2+3*2*77!*54!^3-54!^4\\\\=77!^4-54^4+2*54!*77!*[77!^2-54!^2]\\\\=[77!^2-54!^2][77!+54!]^2\\\\LHS=Nr/Dr=\frac{[77!^2-54!^2]}{[77!+54!]}=77! - 54!](https://tex.z-dn.net/?f=%5Cfrac%7B77%21+%2877%21+-+2%2A+54%21%29%5E3+%2B+54%21++%282%2A+77%21+-+54%21%29%5E3%7D%7B%2877%21+%2B+54%21%29%5E3%7D%5C%5C%5C%5CNr%3D77%21%5E4-3%2A77%21%5E3%2A2%2A54%21%2B3%2A77%21%5E2%2A2%5E2%2A54%21%5E2-77%21%2A2%5E3%2A54%21%5E3%5C%5C%5C%5C%2B54%21%2A2%5E3%2A77%21%5E3-3%2A2%5E2%2A77%21%5E2%2A54%21%5E2%2B3%2A2%2A77%21%2A54%21%5E3-54%21%5E4%5C%5C%5C%5C%3D77%21%5E4-54%5E4%2B2%2A54%21%2A77%21%2A%5B77%21%5E2-54%21%5E2%5D%5C%5C%5C%5C%3D%5B77%21%5E2-54%21%5E2%5D%5B77%21%2B54%21%5D%5E2%5C%5C%5C%5CLHS%3DNr%2FDr%3D%5Cfrac%7B%5B77%21%5E2-54%21%5E2%5D%7D%7B%5B77%21%2B54%21%5D%7D%3D77%21+-+54%21 "\frac{77! (77! - 2* 54!)^3 + 54! (2* 77! - 54!)^3}{(77! + 54!)^3}\\\\Nr=77!^4-3*77!^3*2*54!+3*77!^2*2^2*54!^2-77!*2^3*54!^3\\\\+54!*2^3*77!^3-3*2^2*77!^2*54!^2+3*2*77!*54!^3-54!^4\\\\=77!^4-54^4+2*54!*77!*[77!^2-54!^2]\\\\=[77!^2-54!^2][77!+54!]^2\\\\LHS=Nr/Dr=\frac{[77!^2-54!^2]}{[77!+54!]}=77! - 54!")
77! * (77! - 2 * 54!)³ / (77! + 54!)³ + 54! * (2 * 77! - 54!)³ / (77! + 54!)³
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