Question

Please answer this question
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Answer 1

1

Using the formula

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 + 12xy + 9y² + 4x²-9y² +4x²-12xy +9y²]

= 6y(12x² +9y²)

= 72x²y + 54y³

Answer 2

Answer:

Question 1

$\sf \implies\sf \: (2x+3y)^3 −(2x−3y)^3$

$\sf \: = {8x}^{3} + {27y}^{3} + 18xy + (2x + 3y) - {8x}^{3} - {27y}^{3} - 18xy + (2x - 3y)$

$\sf \: = (2x + 3y) - (2x - 3y)$

$\sf \implies \sf \bold{2x + 3y - 2x + 3y}$

$\sf \implies \sf \: \red{ 3y + 3y = 6y}$

Hence This is Answer.