Verify the Polynomial Identity (a+b+2c+3d)(a-b-2c+3d)=(a-b+2c-3d)(a+b-2c-3d)

Factorizing the Quadratic Expression (a+b)x^2 + (a+2b+c)x + (b+c)

Factorization Problem: Solving Expression with Given Values for a, b, and c

Solving the Quadratic Equation: (a^2+b^2)x^2 + 2(ac+bd)x + c^2+d^2

Factorizing Algebraic Expression a(b - c)(b + c) - d(c - b)