(a-2b+c+3d)(a+2b-c+3d)=

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(a-2b+c+3d)(a+2b-c+3d)=
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(a-2b+c+3d)(a+2b-c+3d)=
(a-2b+c+3d)(a+2b-c+3d)=

(a-2b+c+3d)(a+2b-c+3d)=
(a-2b+c+3d)(a+2b-c+3d)
=[(a+3d)+(c-2b)][(a+3d)-(c-2b)]
=(a+3d)²-(c-2b)²
=a²+6ad+9d²-c²+4bc-4b²

(a-2b+c+3d)(a+2b-c+3d)=[(a+3d)+(-2b+c)][(a+3d)-(-2b+c)]
=(a+3d)^2-(-2b+c)^2
=a^2+6ad+9d^2-4b^2+4bc-c^2

(a-2b+c+3d)(a+2b-c+3d)
=(a+3d-2b+c)(a+3d+2b-c)
=(a+3d)^2-(2b-c)^2
=a^2+6ad+9d^2-4b^2+4bc-c^2

(a-2b+c+3d)(a+2b-c+3d)
=[(a+3d)-(2b-c)][(a+3d)+(2b-c)]
=(a+3d)^2-(2b-c)^2
=a^2+6ad+9d^2-4b^2+4bc-c^2