Worksheet: Sum of a Cube `(a + b)^3`

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Question

Answer

`(2x + y)^3`

`8x^3 + 12x^2y + 6xy^2 + y^3`

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`(x + 3y)^3`

`x^3 + 9x^2y + 27xy^2 + 27y^3`

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`(3x + 2y)^3`

`27x^3 + 54x^2y + 36xy^2 + 8y^3`

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`(4a + 7b)^3`

`64a^3 + 336a^2b + 588ab^2 + 343b^3`

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`(x/2 + 1)^3`

`(x^3)/8 + (3x^2)/4 + (3x)/2 + 1`

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`(x/3 + y)^3`

`(x^3)/27 + (x^2y)/3 + xy^2 + y^3`

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`(x/2 + y/3)^3`

`(x^3)/8 + (x^2y)/4 + (xy^2)/6 + (y^3)/27`

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`(a/3 + b/4)^3`

`(a^3)/27 + (a^2b)/12 + (ab^2)/16 + (b^3)/64`

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`((2x)/3 + (3y)/4)^3`

`(8x^3)/27 + x^2y + (9xy^2)/8 + (27y^3)/64`

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`((3a)/2 + (4a)/3)^3`

`(27a^3)/8 + 9a^2y + 8ay^2 + (64y^3)/27`

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