Question

simplify using identities (2x+3y)(4x^2-6xy+9y^2)​

Answer 1

I guess its -12xy

Using identity-

$( {x} - y)^{2} = {x}^{2} - 2xy + y^{2}$

4x^2 - 12xy + 9y^2

= (2x)^2 - 2×2x×3y + (3y^2)

= {2x - 3y}^2

Answer 2

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