what is ( - a - b ) ³ ?
Pls tell the correct answer....
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(-a)^3-(b)^3-3(-a)(b){(-a)-(b)}
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Answer:
( - a - b ) ³=- a³- b³ - 3a²b- 3ab = -( a+b)³
Step-by-step explanation:
( - a - b ) ³
Let - a=x and -b=y
WE know that
So (x+y)³= x³+y³+ 3x²y + 3xy²
Putting x= -a and b = -y
( -a-b)³ = (-a)³+(-b)³+3(-a)²(-b) +3(-a) (-b)²
Now (-1)³=- a³ and (-a)²= a²
( - a - b ) ³ = - a³- b³+3a²(-b)+3(-a)b²
( - a - b ) ³=- a³- b³ - 3a²b- 3ab = -( a+b)³
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