X + y whole cube minus x minus y whole cube minus 6 Y bracket x square minus y square bracket closed
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133
Answer:
(x+y)³ - (x-y)³ - 6y(x²-y²)= 8y³
Step-by-step explanation:
(x+y)³ - (x-y)³ - 6y(x²-y²)
= (x³+3x²y+3xy²+y³) - (x³-3x²y+3xy²-y³)-6y(x²-y²)
= x³+3x²y+3xy²+y³-x³+3x²y-3xy²+y³-6x²y+6y³
= x³-x³+3x²y+3x²y-6x²y+3xy²-3xy²+y³+y³+6y³
= 8y³
Therefore,
(x+y)³ - (x-y)³ - 6y(x²-y²)=8y³
•••♪
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