Question

plz solve this question​

Answer 1

Answer:

a3/3(L+M)(L+2M)(2L+M)

Hope it help you

Answer 2

$\huge\underline\bold\red{★Answer★}$

$= {a}^{3} {(l + m})^{3} - {( \frac{al}{3} + \frac{2am}{3} )}^{3} - ( { \frac{2al}{3} + \frac{am}{3} })^{3} \\ = {a}^{3} ( {l + m})^{3} - ( { \frac{a}{3} })^{3} (l + 2m)^{3} - ( { \frac{a}{3} })^{3} ( {2l + m})^{3} \\ = {a}^{3} (l + m)^{3} - \frac{ {a}^{3} }{27} (( {l + 2m})^{3} + ( {2l + m})^{3} ) \\ = {a}^{3} ( {l + m})^{3} - \frac{ {a}^{3} }{27} ( {l}^{3} + 6 {l}^{2} m + 12l {m}^{2} + 8 {m}^{3} + 8 {l}^{3} + 12 {l}^{2} m + 6l {m}^{2} + {m}^{3} )\\ = {a}^{3} ( {l + m})^{3} - \frac{ {a}^{3} }{27} (9 {l}^{3} + 9 {m}^{3} + 18 {l}^{2} m + 18l {m}^{2} ) \\ = {a}^{3} ( {l + m})^{3} - \frac{ {a}^{3} }{3} ( {l}^{2} + {m}^{2} + 2 {l}^{2} m + 2l {m}^{2} ) \\ = \frac{ {a}^{3} }{3} (3( {l + m})^{3} - ( {l}^{3} + {m}^{3} + 2 {l}^{2} m + 2l {m}^{2} ) \\ = \frac{ {a}^{3} }{3} (2 {l}^{3} + 2 {m}^{3} + 7 {l}^{2} m + 7l {m}^{2} ) \\ = \frac{ {a}^{3} }{3} (2 {l}^{3} + 2 {m}^{3} + 6 {l}^{2} m + 6l {m}^{2} + {l}^{2} m + l {m}^{2} ) \\ = \frac{ {a}^{3} }{3} (2( {l + m})^{3} + lm(l + m)) \\ = \frac{ {a}^{3} }{3} ((l + m)(2( {l + m})^{2} + lm)) \\ = \frac{ {a}^{3} }{3} (l + m)(2 {l}^{2} + 2 {m}^{2} + 4lm + lm) \\ = \frac{ {a}^{3} }{3} (l + m)(2l(l + 2m) + m(2m + l)) \\ = \frac{ {a}^{3} }{3} (l + m)(l + 2m)(m + 2l)$