Question

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

Answer 1

Answer:

ans is 8xcube - 27ycube

Step-by-step explanation:

= 2x (4x square + 6xy +9y square) - 3y (4xsquare +6xy +9y square)

= 8x cube + 12x square y + 18xy square -12x square y- 18xy square -27y cube

(In 2nd step, terms,with same value and unlike symbols, are cancelled.

=8x cube - 27y cube

Answer 2

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