Factor x^3-27y^9
Factor x
3 - 27y
9Note the following cube root calculations
The cube root of the first term x
3 =
x ← This is {a}
The cube root of the second term 27y
9 =
3y3 ← This is {b}
Since both cube roots are integer constants and powers, x3 - 27y9 is in the Difference of cubes format
The formula for factoring the Difference of cubes is as follows:
a
3 - b
3 = (
a -
b)(
a2 +
ab +
b2)
Author
James H. Sterling
James Sterling reports on renewable energy developments, climate policy, ecological conservation, and green tech innovations around the globe.