Question

(6m+1) (3m-2) - (5+2m) (2-9m)​

Answer 1

$(6m + 1)(3m - 2) \\ = 6m(3m - 1) + 1(3m - 2) \\ = 18 {m}^{2} - 6m + 3m - 2 \\ = 18 {m}^{2} - 3m - 2$

$(5 + 2m)(2 - 9m) \\ = 5(2 - 9m) + 2m(2 - 9m) \\ = 10 - 45m + 4m - 18 {m}^{2} \\ = - 18 {m}^{2} - 41m + 10$

$now \: subtract \\ 18 {m}^{2} - 3m - 2 - ( - 18 {m}^{2} - 41m + 10) \\ 18 {m}^{2} - 3m - 2 + 18 {m}^{2} + 41m - 10 \\ 18 {m}^{2} + 18 {m}^{2} - 3m + 41m - 2 - 10 \\ = 36 {m}^{2} + 38m - 12 \: \: \: ans$

Answer 2

Hope, it helps you dear

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