Math, asked by laxmi1278, 10 months ago

Simplify (2x-5y)^3-(2x-5y)^3

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Answered by Anonymous

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(2x-5y)³-(2x+5y)³

a³-b³ = (a-b)(a²+b²+ab)

=> (2x-5y-2x-5y)[{2x-5y}²+{2x+5y}²+(2x-5y)(2x+5y)]

=> -10y(4x²+25y²-20xy+ 4x²+25y²+20xy+4x²-25y²)

(a+b)(a-b) = a²-b²

-10y(12x²+25y²)

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Answered by Anonymous

Answer: here u go

Step-by-step explanation:

(2x-5y)³-(2x+5y)³

= (2x)³-(5y)³-3(2x)²×(5y)+3(2x)×(5y)²-[(2x)³+(5y)³+3(2x)²×(5y)+3(2x)×(5y)²]

= 8x³-125y³-60x²y+150xy²-8x³-125y³-60x²y-150xy²

= -250y³-120x²y

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