Question

Factoring Binomials in the Degree of 3

Can someone list the steps when Factoring Binomials in the Degree of 3 or higher please?

Example:

Answer 1

\[r ^{3}s ^{3}+a ^{3}b ^{3}\]

Answer 2

formula for factoring sum of cubes is
a3 + b3 = ( a + b) (a2b - ab2 + b3)
so:
r3s3 + a3b3 = (rs + ab)(r2s2ab - rsa2b2 + a2b2)

consider rs to be a and ab to be b in the formula

Answer 3

Thank you so much!

Answer 4

The factors will be a binomial and a trinomial
Since it is the sum of two cubes the first factor will be the sum of its cube root
The next factor which is a trinomial will have alternate +, - + terms
The first term of which is the square of the cube root of the first term times the cube root of the second term, etc

Answer 5

Happy to be of help