How is cube of binomial expanded

The sum of a cubed of two binomial is equal to the cube of the first term, plus three times the square of the first term by the second term, plus three times the first term by the square of the second term, plus the cube of the second term. Difference of cubes:. The difference of a cubed of two binomial is equal to the cube of the first term, minus three times the square of the first term by the second term, plus three times the first term by the square of the second term, minus the cube of the second term.

Worked-out examples for the expansion of cube of a binomial:. But instead of working out the math from scratch every time, you can use the "shortcut" of a formula that represents the answer you'll get.

Here's the formula for the cube of a binomial:. To use the formula, identify which numbers or variables occupy the slots for "a" and "b" on the left side of the equation, then substitute those same numbers or variables into the "a" and "b" slots on the right side of the formula. As you can see, x occupies the "a" slot in the left side of your formula, and 5 occupies the "b" slot. Substituting x and 5 into the right side of the formula gives you:.

You don't need a different formula to solve a problem like y - 3 3. In your problem, y occupies the "a" slot on the left side of the equation, and -3 occupies the "b" slot. Substitute those into the appropriate slots on the right side of the equation, taking great care with your parentheses to preserve the negative sign in front of To the cube of the first term add, three times the product of the square of the first term and the last term, three times the product of the first term and the square of the last term, and the cube of the last term.

The binomial expansion algorithm - the binomial theorem. The binomial coefficients can also be obtained by using Pascal's triangle. Functions contents A. Learn the why behind math with our certified experts. Practice Questions on Cube of a Binomial. Explore math program. Explore coding program. Cube of a Binomial Worksheets. Download Polynomials Worksheets. Make your child naturally math minded.