Mathematics
Grade10
Easy
Question
Expand.
![left parenthesis 2 x plus y right parenthesis cubed](data:image/png;base64,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)
The correct answer is: ![8 x cubed plus 12 x squared y plus 6 x y squared plus y cubed](data:image/png;base64,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)
![left parenthesis 2 x plus y right parenthesis cubed](data:image/png;base64,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)
using property :(a + b)3 = a3 + 3a2b + 3ab2 + b3
= (2x)3 + 3(2x)2y + 3(2x)y2 + y3
= ![8 x cubed plus 12 x squared y plus 6 x y squared plus y cubed](data:image/png;base64,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)
![8 x cubed plus 12 x squared y plus 6 x y squared plus y cubed](data:image/png;base64,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)
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