Question

simplify(6m-n)(36m2-6mn+n2)(3m+2n)3

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Answer 1

Answer:

$1944 {m}^{4} + 648 {m}^{3} n - 324 {m}^{2} {n}^{2} + 63m {n}^{3} - 6 {n}^{4}$

Step-by-step explanation:

$= (6m - n)(36 {m}^{2} - 6mn + {n}^{2} )(3m + 2n) \times 3 \\ = (18m - n) \times (36 {m}^{2} - 6mn + {n}^{2} ) \times (3m + 2n) \\ = (648 {m}^{3} - 108 {m}^{2} n + 18m {n}^{2} - 108 {m}^{2} n + 18m {n}^{2} - 3 {n}^{3} ) \times (3m + 2n) \\ = (648 {m}^{3} - 216 {m}^{2} n + 36m {n}^{2} - 3 {n}^{3} ) \times (3m + 2n) \\ = 1944 {m}^{2} + 1296 {m}^{3} n - 648 {m}^{3} - 432 {m}^{2} {n}^{2} + 108 {m}^{2} {n}^{2} + 72 m {n}^{3} - 9m {n}^{3} - 6 {n}^{4} \\ = 1944 {m}^{4} + 648 {m}^{3} n - 324 {m}^{2} {n}^{2} + 63m {n}^{3} - 6 {n}^{4}$