How do you expand the binomial (x+y)^3?

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11
Dec 3, 2016

${x}^{3} + 3 {x}^{2} y + 3 x {y}^{2} + {y}^{3}$

Explanation:

You can use Pascal's triangle

$$              1
1  2  1
1   3   3  1


The third row is 1, 3, 3, 1,
so the expansion is ${x}^{3} + 3 {x}^{2} y + 3 x {y}^{2} + {y}^{3}$

Then teach the underlying concepts
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Explanation

Explain in detail...

Explanation:

I want someone to double check my answer

7
Rose Share
Dec 3, 2016

The answer is (x + y) (x + y) (x + y).

Explanation:

There really is no detail to add. Just remember that an exponent means that you multiply the base (in this case (x + y)) the number of times equal to the number of the exponent (in this case 3).

Expand just means to write it all out in detail as much as possible instead of the shorthand (with the exponent).

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