find the cube of ab^2-c^2
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Step-by-step explanation:
(ab²-c²)³
(A-B)³ = A³- 3A²B +3AB² -B³
= A³-B³- 3AB(A-B)
A = ab² B = c²
(ab²-c²)³ = (ab²)³ -(c²)³ -3(ab²)(c²)[ab²-c²]
= a³b⁶ - c⁶ - 3(ab²c³)[ab²-c²]
(or)
= a³b⁶ - 3(a²b⁴c²) +3(ab²c⁴) - c⁶
R W
(a¹b²)³ = (a¹)³(b²)³ = a³b⁶
(c²)³ = c⁶
(ab²)² = a²b⁴
(c²)² = c⁴
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