c=(r+q)(r-q)

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Solution for c=(r+q)(r-q) equation: 


Simplifying
c = (r + q)(r + -1q)

Reorder the terms:
c = (q + r)(r + -1q)

Reorder the terms:
c = (q + r)(-1q + r)

Multiply (q + r) * (-1q + r)
c = (q(-1q + r) + r(-1q + r))
c = ((-1q * q + r * q) + r(-1q + r))

Reorder the terms:
c = ((qr + -1q2) + r(-1q + r))
c = ((qr + -1q2) + r(-1q + r))
c = (qr + -1q2 + (-1q * r + r * r))
c = (qr + -1q2 + (-1qr + r2))

Reorder the terms:
c = (qr + -1qr + -1q2 + r2)

Combine like terms: qr + -1qr = 0
c = (0 + -1q2 + r2)
c = (-1q2 + r2)

Solving
c = -1q2 + r2

Solving for variable 'c'.

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

Simplifying
c = -1q2 + r2

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