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(1+h)^3
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by
WinpossibleUser3758
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Responses
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by
Winpossible
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Sep 09, 10 11:47AM PST
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Here we will use algebraic expression
(a + b)^3 = a^3 + b^3 + 3ab^2 + 3a^2*b
If we compare the question and the expression given above, then a= 1 and b = h. Putting these values in the expression.
(1 + h)^3 = 1 + h^3 + 3h^2 + 3h
Alternatively you can simplify the question, if you find the expression hard to remember.
=> (1 + h)^3 = (1 + h)*(1 + h)*(1 + h)
= (1 + h)*{ 1*(1 + h) + h*(1 + h)}
= (1 + h)*{ 1 + h + h + h^2}
= (1 + h)*{ 1 + 2h + h^2}
= 1*{ 1 + 2h + h^2} + h*{ 1 + 2h + h^2}
= 1 + 2h + h^2 + h + 2h^2 + h^3
= 1 + 3h + 3h^2 + h^3
= 1 + h^3 + 3h^2 + 3h
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View chat between User and Winpossible
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by
Winpossible
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Sep 09, 10 12:13PM PST
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