(r+s)(r^2-rs+s^2)=

Solution for (r+s)(r^2-rs+s^2)= equation:

Simplifying
(r + s)(r2 + -1rs + s2) = 0

Reorder the terms:
(r + s)(-1rs + r2 + s2) = 0

Multiply (r + s) * (-1rs + r2 + s2)
(r(-1rs + r2 + s2) + s(-1rs + r2 + s2)) = 0
((-1rs * r + r2 * r + s2 * r) + s(-1rs + r2 + s2)) = 0

Reorder the terms:
((rs2 + -1r2s + r3) + s(-1rs + r2 + s2)) = 0
((rs2 + -1r2s + r3) + s(-1rs + r2 + s2)) = 0
(rs2 + -1r2s + r3 + (-1rs * s + r2 * s + s2 * s)) = 0
(rs2 + -1r2s + r3 + (-1rs2 + r2s + s3)) = 0

Reorder the terms:
(rs2 + -1rs2 + -1r2s + r2s + r3 + s3) = 0

Combine like terms: rs2 + -1rs2 = 0
(0 + -1r2s + r2s + r3 + s3) = 0
(-1r2s + r2s + r3 + s3) = 0

Combine like terms: -1r2s + r2s = 0
(0 + r3 + s3) = 0
(r3 + s3) = 0

Solving
r3 + s3 = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-1s3' to each side of the equation.
r3 + s3 + -1s3 = 0 + -1s3

Combine like terms: s3 + -1s3 = 0
r3 + 0 = 0 + -1s3
r3 = 0 + -1s3
Remove the zero:
r3 = -1s3

Simplifying
r3 = -1s3

Combine like terms: -1s3 + s3 = 0
r3 + s3 = 0

The solution to this equation could not be determined.