Question

$factorise \: {(2x + 3y)}^{3} - {(2x - 3y)}^{3}$
WHO WILL ANSWER FAST HE OR SHE WILL BE MARKED AS BRAINLIEST
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Answer 1

Answer:

18y(4x² + 3y²)

Step-by-step explanation:

Use the identity: a³ - b³ = (a - b)(a² + ab + b²)

(2x+3y)³ - (2x-3y)³

= [(2x + 3y) - (2x-3y) ][(2x-3y)² + (2x - 3y)(2x + 3y) + (2x + 3y)² ]

= [ 2x + 3y - 2x + 3y ][(4x² + 9y² - 12xy) + (4x² - 9y²) + (4x² + 9y² + 12xy) ]

= [6y][ 4x² + 9y² - 12xy + 4x² - 9y² + 4x² + 9y² + 12xy ]

= [6y][ 4x² + 4x² + 4x² + 9y² + 9y² - 9y² - 12xy + 12xy ]

= [6y][ 12x² + 9y²]

= 6y×3×(4x² + 3y²)

= 18y(4x² + 3y²)