simplify the following - (x/3+y/5)^3-(x/3-y/5)^3
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Hi ,
we know that
( a + b )³ - ( a - b )³
= a³+3a²b+3ab²+b³-a³+ 3a²b-3ab²+b³
= 3b³ + 6a²b
according to the problem given,
( x/3 + y/5)³ - ( x/3 - y/5)³
= 3×(y/5)³ + 6 ( x/3)²(y/5)
= (3y³ / 125 ) + ( 6x²y )/45
= ( 3y³ / 125 ) + ( 2x²y )/ 15
I hope this helps you.
:)
we know that
( a + b )³ - ( a - b )³
= a³+3a²b+3ab²+b³-a³+ 3a²b-3ab²+b³
= 3b³ + 6a²b
according to the problem given,
( x/3 + y/5)³ - ( x/3 - y/5)³
= 3×(y/5)³ + 6 ( x/3)²(y/5)
= (3y³ / 125 ) + ( 6x²y )/45
= ( 3y³ / 125 ) + ( 2x²y )/ 15
I hope this helps you.
:)
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