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