if a-b=-8,ab=-12,then acube - bcube
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Answered by
0
Answer:
acube−bcube=(a−b)(a
2
+ab+b
2
)
8(a
2
+(−12)+b
2
)
8a
2
−96+8b
2
Step-by-step explanation:
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Answered by
2
Answer:
ab= -12
b= -12/a............(1)
a-b= -8.....….....(2)
Subscribe (1) in (2)
a-(-12/a)= -8
a²+12/a= -8
a²+12= -8a
a²+8a+12=0
a²+2a+6a+12=0
a(a+2)+6(a+2)=0
(a+2) (a+6)=0
a= -2 a= -6
-2-b=-8
b=8-2
b=6
-6-b=-8
8-6=b
b=2
let a be -6 and b be 2
(-6)³-2³
-216-8
-224
let a be -2 and b be 6
(-2)³-6³
-8-216
-224
Therefore a³-b³= -224
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