The factor of 125(2x+3y)^3 - (2x-3)^3 is
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Hey friend, Harish here.
Here is your answer:
We know that,
(a³ - b³) = (a-b) (a² + ab + b²)
Then,
125(2x +3y)³ - (2x-3y)³
⇒(5(2x+3y))³ - (2x-3y)³
⇒(10x+15y - 2x + 3y) ( (10x+15y)² + (10x+15y)(2x-3y) + (2x-3y)²)
⇒(8x + 18y) (100x²+225y²+300xy+20x²-45y²+4x²+9y²-12xy)
⇒(8x + 18y) (124x² + 189y²+288xy)
Therefore this is the factor.
______________________________________________
Hope this answer is helpful to you.
Here is your answer:
We know that,
(a³ - b³) = (a-b) (a² + ab + b²)
Then,
125(2x +3y)³ - (2x-3y)³
⇒(5(2x+3y))³ - (2x-3y)³
⇒(10x+15y - 2x + 3y) ( (10x+15y)² + (10x+15y)(2x-3y) + (2x-3y)²)
⇒(8x + 18y) (100x²+225y²+300xy+20x²-45y²+4x²+9y²-12xy)
⇒(8x + 18y) (124x² + 189y²+288xy)
Therefore this is the factor.
______________________________________________
Hope this answer is helpful to you.
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