Question

Simplify

$(2x + 3y)(4x {}^{2} - 6xy + 9y {}^{2}$
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Answer 1

$\fcolorbox{red}{aqua}{solution : - } \\ \\ \small{\red{ = > }(2x + 3y)(4x^2-6xy+9y^2) }\\ \\ \small{\red{ = > } 2x \: (4x^2-6xy+9y^2) + 3y \: (4x^2-6xy+9y^2) } \\ \\ \small{\red{ = > } 8{x}^{3} } { \red{- 12 {x}^{2} y}} { \purple{+ 18x {y}^{2}}} { \red{+ 12 {x}^{2} y }}{ \purple{- 18x {y}^{2} }}+ 27 {y}^{3} \\ \\ \small {\red{ = > } \fbox{ \red{8{x}^{3} + 27 {y}^{3} }}} \\ \\ \\ \\ \fcolorbox{red}{aqua}{i \: hope \: it \: helps \: you. \: }$