if a minus b equals to 3 and a b equals to 4 find a cube minus b cube
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Step-by-step explanation:
The cube of A−B is
(A−B)3=63=216=A3−3A2B+3AB2−B3=A3−3AB(A−B)−B3=A3−B3−360
So A3−B3=576.A-B=6
On cubing both side
(A-B)^3 = (6)^3
A^3-B^3–3A.B.(A-B) = 216
On putting A.B = 20 and A-B = 6
A^3-B^3 - 3.20.6 = 216
A^3 - B^3 = 360 +216 = 576 . , Answer.
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