If a = -13 and b = -11, then find the value of expression a^3 - 3a^2b + 3ab^2 - b^3
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Answer:
-8
Step-by-step explanation:
=> (a-b)³ = a³ - 3a²b + 3ab² - b³
=>
now a = -13 and b = -11
(-13 + 11)³ = (-2)³
= -8
Another method
= (-13)³ -3(-13)²(-11) + 3(-13)(-11)²-(-11)³
= (-13)³ - 3×169×(-11) + 3×(-13)×121 + 1,331
=(-13)³ + 5,577 - 4,719 + 1,331
= -2,197 + 5,577 - 4,719 + 1,331
= -8
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