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Simplify (x+y)^3

Problem

(x+y)3

Solution

  1. Identify the expression as a binomial raised to the third power, which follows the pattern of a binomial expansion.

  2. Apply the binomial theorem or the formula for the cube of a sum, which states (a+b)3=a3+3*a2*b+3*a*b2+b3

  3. Substitute x for a and y for b into the expansion formula.

  4. Write the expanded terms in descending order of the powers of x

Final Answer

(x+y)3=x3+3*x2*y+3*x*y2+y3


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