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For cubing a binomial we need to know the formulas for the sum of cubes and the difference of cubes.

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Example:

( x + y ) ³ = ?

Step 1: Cube the 1st term.

Step 2: Square the 1st term, multiply it to the 2nd term, finally, multiply by 3.

Step 3: Square the 2nd term, multiply it to the first terms, finally, multiply by 3.

Step 4: Cube the 2nd term.

Step 5: Combine the results of your steps and reduce if necessary.

Cube the binomial:

( x + y ) ³

Step 1: Cube x.

= x³

Step 2: Square x, multiply by y, then multiply by 3.

= 3x²y

Step 3: Square y, multiply by x, then multiply by 3.

= 3xy²

Step 4: Cube y.

= y³

Step 5: Combine your initial answers and reduce if necessary.

= x³ + 3x²y + 3xy² + y³

Answer:

The cube of the binomial ( x + y ) or ( x + y ) ³ is

= x³ + 3x²y + 3xy² + y³

( x + y ) ³ = ?

Step 1: Cube the 1st term.

Step 2: Square the 1st term, multiply it to the 2nd term, finally, multiply by 3.

Step 3: Square the 2nd term, multiply it to the first terms, finally, multiply by 3.

Step 4: Cube the 2nd term.

Step 5: Combine the results of your steps and reduce if necessary.

Cube the binomial:

( x + y ) ³

Step 1: Cube x.

= x³

Step 2: Square x, multiply by y, then multiply by 3.

= 3x²y

Step 3: Square y, multiply by x, then multiply by 3.

= 3xy²

Step 4: Cube y.

= y³

Step 5: Combine your initial answers and reduce if necessary.

= x³ + 3x²y + 3xy² + y³

Answer:

The cube of the binomial ( x + y ) or ( x + y ) ³ is

= x³ + 3x²y + 3xy² + y³