Question

Find the product of : (2x+3y) (4x²-6xy+9y²)

Answer 1

(2x+3y)(4x²-6xy+9y²)
8x³-12x²y+18xy²+12x²y-18xy²+27y²
=8x³+27y³

Answer 2

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