The sum of two squares cannot be factored.
If that's -a^2 + b^2, that's b^2 - a^2, which factors to (b - a)(b + a)
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(b-c)(a+b)-ac
If you're solving for b, then you use the quadratic formula to factor out b. In this case, b= -1/4 or -18/12
2(5c + 2d)(5c + 2d)
you use A squared plus B squared equals C squared