Question

(7m+6) (6m^2+4m+4) I really suck at math

Answer 1

`\large\mathfrak{{\pmb{\underline{\orange{Your\:answer }}{\orange{:}}}}}`

`:⟼  (7m + 6)(6 {m}^(2) + 4m + 4)`

`:⟼  7m \: (6 {m}^(2) + 4m + 4) + 6 \: (6 {m}^(2) + 4m + 4)`

`:⟼  42 {m}^(3) + 28 {m}^(2) + 28m + 36 {m}^(2) +24 m + 24`

`:⟼  42 {m}^(3) + 28 {m}^(2) + 36 {m}^(2) + 28m + 24m + 24`

`:⟼  42 {m}^(3) + 64 {m}^(2) + 52m + 24`

`:⟼  2(21 {m}^(3) + 32 {m}^(2) + 26m + 12)`

`\sf \bf {\boxed {\mathbb {HAPPY\:LEARNING.}}}`

Answer 2

`42 {m}^(3) + 64 {m}^(2) + 52m + 24`

Explanation:

`(7m + 6)(6 {m}^(2) + 4m + 4)`

`= 7m(6 {m}^(2) + 4m + 4) + 6(6 {m}^(2) + 4m + 4)`

`= 42 {m}^(3) + 28 {m}^(2) + 28m + 36 {m}^(2) + 24m + 24`

`= 42 {m}^(3) + 64 {m}^(2) + 52m + 24( ans)`