simplify : (x-2/5y)^3 - (x+2/5y)^3
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Answer:
Step-by-step explanation:
Let z= (x-2/5y)^3 - (x+2/5y)^3
Let 2/5y=a
z=(x-a)³-(x+a)³
=(x-a-x-a)[ (x-a)²+(x+a)²+(x-a)(x+a)]
=-2a(2x²+2a²+x²-a²)
=-2a(3x²+a²)
putting value of a
=-2*2/5y(3x²+4/25y²)
=-4/5y(3x²+4/25y²)
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