(a+b)^3
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Answer:
(a+b)^3=a^3+b^+3a^2b+3b^a
Step-by-step explanation:
Taking LHS of the identity:
(a + b)^3 = (a + b)(a + b)(a + b)
Multiply (a + b) and (a + b).
(a + b)^3 = (a^2 + ab + ab + b^2)
(a + b)
On Simplifying
(a + b)^3 = (a^2 + 2ab + b^2)(a + b)
(a + b)^3 = a^3 + a^2b + 2a^2b + 2ab^2 + ab^2 + b^3
Now we Combine the like terms.
(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
or we can also write as:
(a + b)^3 = a^3 + b^3 + 3ab(a + b)
Hope it helps you
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