Question

find the product
(3x+2y)(9x²-6xy+4y²)

pls answer step by step​

Answer 1

ANSWER:

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

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

$= ({27x}^{3} - 18 {x}^{2} y + 12x {y}^{2}) + (18 {x}^{2}y - 12x {y}^{2} + 8 {y}^{3} )$

$= {27x}^{3} - 18 {x}^{2} y + 12x {y}^{2}+ 18 {x}^{2}y - 12x {y}^{2} + 8 {y}^{3}$

$= {27x}^{3} - 18 {x}^{2} y + 18 {x}^{2}y - 12x {y}^{2} + 12x {y}^{2} + 8 {y}^{3}$

$= {27x}^{3} + 8 {y}^{3}$

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